56404567296 has 576 divisors, whose sum is σ = 209802700800. Its totient is φ = 14520729600.

The previous prime is 56404567249. The next prime is 56404567309. The reversal of 56404567296 is 69276540465.

56404567296 is a `hidden beast` number, since 56 + 4 + 0 + 4 + 567 + 29 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 69720940 + ... + 69721748.

It is an arithmetic number, because the mean of its divisors is an integer number (364240800).

Almost surely, 2^56404567296 is an apocalyptic number.

56404567296 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56404567296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104901350400).

56404567296 is an abundant number, since it is smaller than the sum of its proper divisors (153398133504).

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

56404567296 is a wasteful number, since it uses less digits than its factorization.

56404567296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 983 (or 963 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 56404567296 in words is "fifty-six billion, four hundred four million, five hundred sixty-seven thousand, two hundred ninety-six".