55659768960 has 256 divisors, whose sum is σ = 185661020160. Its totient is φ = 14168014848.

The previous prime is 55659768943. The next prime is 55659768977. The reversal of 55659768960 is 6986795655.

It is an interprime number because it is at equal distance from previous prime (55659768943) and next prime (55659768977).

It is a junction number, because it is equal to n+sod(n) for n = 55659768891 and 55659768900.

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, 3757729 + ... + 3772511.

It is an arithmetic number, because the mean of its divisors is an integer number (725238360).

Almost surely, 2^55659768960 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 55659768960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92830510080).

55659768960 is an abundant number, since it is smaller than the sum of its proper divisors (130001251200).

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

55659768960 is a wasteful number, since it uses less digits than its factorization.

55659768960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14895 (or 14883 counting only the distinct ones).

The product of its (nonzero) digits is 122472000, while the sum is 66.

The spelling of 55659768960 in words is "fifty-five billion, six hundred fifty-nine million, seven hundred sixty-eight thousand, nine hundred sixty".