56465886960 has 360 divisors, whose sum is σ = 221045338800. Its totient is φ = 12879949824.

The previous prime is 56465886947. The next prime is 56465886989. The reversal of 56465886960 is 6968856465.

56465886960 is a `hidden beast` number, since 5 + 6 + 46 + 588 + 6 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20919691 + ... + 20922389.

It is an arithmetic number, because the mean of its divisors is an integer number (614014830).

Almost surely, 2^56465886960 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 56465886960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110522669400).

56465886960 is an abundant number, since it is smaller than the sum of its proper divisors (164579451840).

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

56465886960 is a wasteful number, since it uses less digits than its factorization.

56465886960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3325 (or 3309 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 63.

The spelling of 56465886960 in words is "fifty-six billion, four hundred sixty-five million, eight hundred eighty-six thousand, nine hundred sixty".