55829516160 has 384 divisors, whose sum is σ = 196913203200. Its totient is φ = 13444034560.

The previous prime is 55829516137. The next prime is 55829516161. The reversal of 55829516160 is 6161592855.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×55829516160² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55829516161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38796721 + ... + 38798159.

It is an arithmetic number, because the mean of its divisors is an integer number (512794800).

Almost surely, 2^55829516160 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 55829516160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98456601600).

55829516160 is an abundant number, since it is smaller than the sum of its proper divisors (141083687040).

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

55829516160 is a wasteful number, since it uses less digits than its factorization.

55829516160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1650 (or 1627 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 48.

The spelling of 55829516160 in words is "fifty-five billion, eight hundred twenty-nine million, five hundred sixteen thousand, one hundred sixty".