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55781066880 = 27335721153113
BaseRepresentation
bin110011111100110011…
…111000100010000000
312022222110220210112000
4303330303320202000
51403214423120010
641343033504000
74013210150100
oct637463704200
9168873823460
1055781066880
1121724a5a180
12a988b72000
13534c682866
1429b242d200
1516b71837c0
hexcfccf8880

55781066880 has 1536 divisors, whose sum is σ = 257695084800. Its totient is φ = 11271536640.

The previous prime is 55781066857. The next prime is 55781066897. The reversal of 55781066880 is 8866018755.

55781066880 is a `hidden beast` number, since 5 + 578 + 1 + 0 + 6 + 68 + 8 + 0 = 666.

It is a super-2 number, since 2×557810668802 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 493637704 + ... + 493637816.

Almost surely, 255781066880 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55781066880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128847542400).

55781066880 is an abundant number, since it is smaller than the sum of its proper divisors (201914017920).

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

55781066880 is a wasteful number, since it uses less digits than its factorization.

55781066880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 54.

The spelling of 55781066880 in words is "fifty-five billion, seven hundred eighty-one million, sixty-six thousand, eight hundred eighty".