55156584960 has 320 divisors, whose sum is σ = 200709653760. Its totient is φ = 14348943360.

The previous prime is 55156584943. The next prime is 55156585069. The reversal of 55156584960 is 6948565155.

55156584960 is a `hidden beast` number, since 5 + 5 + 1 + 56 + 584 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a junction number, because it is equal to n+sod(n) for n = 55156584897 and 55156584906.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2824189 + ... + 2843651.

It is an arithmetic number, because the mean of its divisors is an integer number (627217668).

Almost surely, 2^55156584960 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 55156584960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100354826880).

55156584960 is an abundant number, since it is smaller than the sum of its proper divisors (145553068800).

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

55156584960 is a wasteful number, since it uses less digits than its factorization.

55156584960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19536 (or 19514 counting only the distinct ones).

The product of its (nonzero) digits is 6480000, while the sum is 54.

The spelling of 55156584960 in words is "fifty-five billion, one hundred fifty-six million, five hundred eighty-four thousand, nine hundred sixty".