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55894384591200 = 253252232511344727
BaseRepresentation
bin11001011010101111011001…
…11100000100000101100000
321022220110011202200011001200
430231113230330010011200
524311233144423404300
6314513305323401200
714526143645652501
oct1455275474040540
9238813152604050
1055894384591200
111689a747a35721
126328858383200
132525a82a8242c
14db343467aba8
1566de1b8e3200
hex32d5ecf04160

55894384591200 has 432 divisors, whose sum is σ = 206486577513216. Its totient is φ = 14200306560000.

The previous prime is 55894384591163. The next prime is 55894384591207. The reversal of 55894384591200 is 219548349855.

55894384591200 is a `hidden beast` number, since 5 + 5 + 8 + 9 + 4 + 38 + 4 + 591 + 2 + 0 + 0 = 666.

It is a super-2 number, since 2×558943845912002 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55894384591207) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 40893237 + ... + 42237963.

It is an arithmetic number, because the mean of its divisors is an integer number (477978188688).

Almost surely, 255894384591200 is an apocalyptic number.

55894384591200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55894384591200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103243288756608).

55894384591200 is an abundant number, since it is smaller than the sum of its proper divisors (150592192922016).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

55894384591200 is a wasteful number, since it uses less digits than its factorization.

55894384591200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1345027 (or 1345011 counting only the distinct ones).

The product of its (nonzero) digits is 62208000, while the sum is 63.

The spelling of 55894384591200 in words is "fifty-five trillion, eight hundred ninety-four billion, three hundred eighty-four million, five hundred ninety-one thousand, two hundred".