56057057280 has 624 divisors, whose sum is σ = 231843306240. Its totient is φ = 12249464832.

The previous prime is 56057057233. The next prime is 56057057327. The reversal of 56057057280 is 8275075065.

56057057280 is a `hidden beast` number, since 5 + 6 + 0 + 5 + 70 + 572 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (56057057233) and next prime (56057057327).

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 47 ways as a sum of consecutive naturals, for example, 29674576 + ... + 29676464.

It is an arithmetic number, because the mean of its divisors is an integer number (371543760).

Almost surely, 2^56057057280 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 56057057280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115921653120).

56057057280 is an abundant number, since it is smaller than the sum of its proper divisors (175786248960).

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

56057057280 is a wasteful number, since it uses less digits than its factorization.

56057057280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1954 (or 1929 counting only the distinct ones).

The product of its (nonzero) digits is 588000, while the sum is 45.

The spelling of 56057057280 in words is "fifty-six billion, fifty-seven million, fifty-seven thousand, two hundred eighty".