56705264000 has 256 divisors, whose sum is σ = 175775408640. Its totient is φ = 17673984000.

The previous prime is 56705263961. The next prime is 56705264029. The reversal of 56705264000 is 46250765.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1208987 + ... + 1255013.

It is an arithmetic number, because the mean of its divisors is an integer number (686622690).

Almost surely, 2^56705264000 is an apocalyptic number.

56705264000 is a gapful number since it is divisible by the number (50) 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 56705264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87887704320).

56705264000 is an abundant number, since it is smaller than the sum of its proper divisors (119070144640).

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

56705264000 is a wasteful number, since it uses less digits than its factorization.

56705264000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46074 (or 46052 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 35.

The spelling of 56705264000 in words is "fifty-six billion, seven hundred five million, two hundred sixty-four thousand".