55132828656 has 160 divisors (see below), whose sum is σ = 158952326400. Its totient is φ = 16364482560.

The previous prime is 55132828631. The next prime is 55132828693. The reversal of 55132828656 is 65682823155.

It is a happy number.

55132828656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×55132828656² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 55132828599 and 55132828608.

It is a congruent number.

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, 14587375 + ... + 14591153.

It is an arithmetic number, because the mean of its divisors is an integer number (993452040).

Almost surely, 2^55132828656 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 55132828656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79476163200).

55132828656 is an abundant number, since it is smaller than the sum of its proper divisors (103819497744).

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

55132828656 is a wasteful number, since it uses less digits than its factorization.

55132828656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4767 (or 4761 counting only the distinct ones).

The product of its digits is 3456000, while the sum is 51.

The spelling of 55132828656 in words is "fifty-five billion, one hundred thirty-two million, eight hundred twenty-eight thousand, six hundred fifty-six".