55960407360 has 448 divisors, whose sum is σ = 231934268160. Its totient is φ = 12522332160.

The previous prime is 55960407359. The next prime is 55960407427. The reversal of 55960407360 is 6370406955.

55960407360 is a `hidden beast` number, since 5 + 5 + 9 + 604 + 0 + 7 + 36 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1212874 + ... + 1258166.

It is an arithmetic number, because the mean of its divisors is an integer number (517710420).

Almost surely, 2^55960407360 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 55960407360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115967134080).

55960407360 is an abundant number, since it is smaller than the sum of its proper divisors (175973860800).

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

55960407360 is a wasteful number, since it uses less digits than its factorization.

55960407360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45343 (or 45327 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 55960407360 in words is "fifty-five billion, nine hundred sixty million, four hundred seven thousand, three hundred sixty".