56790858240 has 480 divisors, whose sum is σ = 214365476160. Its totient is φ = 14248378368.

The previous prime is 56790858233. The next prime is 56790858269. The reversal of 56790858240 is 4285809765.

56790858240 is a `hidden beast` number, since 56 + 7 + 9 + 0 + 8 + 582 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19974259 + ... + 19977101.

It is an arithmetic number, because the mean of its divisors is an integer number (446594742).

Almost surely, 2^56790858240 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 56790858240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107182738080).

56790858240 is an abundant number, since it is smaller than the sum of its proper divisors (157574617920).

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

56790858240 is a wasteful number, since it uses less digits than its factorization.

56790858240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2909 (or 2870 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 56790858240 in words is "fifty-six billion, seven hundred ninety million, eight hundred fifty-eight thousand, two hundred forty".