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55067425585920 = 2834511234151203
BaseRepresentation
bin11001000010101011000100…
…10101110011101100000000
321012222101122120102001020000
430201111202111303230000
524204211041422222140
6313041343122120000
714412330066254436
oct1441254225635400
9235871576361200
1055067425585920
1116600a67158280
1262145294b0000
132495ab3779737
14d853c5b04d56
1565766b967a30
hex321562573b00

55067425585920 has 1440 divisors, whose sum is σ = 229775218573824. Its totient is φ = 12457569484800.

The previous prime is 55067425585901. The next prime is 55067425585967. The reversal of 55067425585920 is 2958552476055.

It is a happy number.

55067425585920 is a `hidden beast` number, since 5 + 5 + 0 + 6 + 7 + 4 + 2 + 558 + 59 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1075447039 + ... + 1075498241.

Almost surely, 255067425585920 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 55067425585920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114887609286912).

55067425585920 is an abundant number, since it is smaller than the sum of its proper divisors (174707792987904).

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

55067425585920 is a wasteful number, since it uses less digits than its factorization.

55067425585920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51311 (or 51288 counting only the distinct ones).

The product of its (nonzero) digits is 151200000, while the sum is 63.

The spelling of 55067425585920 in words is "fifty-five trillion, sixty-seven billion, four hundred twenty-five million, five hundred eighty-five thousand, nine hundred twenty".