56257356120 has 256 divisors, whose sum is σ = 203798937600. Its totient is φ = 12136158720.

The previous prime is 56257356107. The next prime is 56257356121. The reversal of 56257356120 is 2165375265.

It is a super-2 number, since 2×56257356120² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56257356121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4318657 + ... + 4331663.

It is an arithmetic number, because the mean of its divisors is an integer number (796089600).

Almost surely, 2^56257356120 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 56257356120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101899468800).

56257356120 is an abundant number, since it is smaller than the sum of its proper divisors (147541581480).

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

56257356120 is a wasteful number, since it uses less digits than its factorization.

56257356120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13318 (or 13314 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 42.

The spelling of 56257356120 in words is "fifty-six billion, two hundred fifty-seven million, three hundred fifty-six thousand, one hundred twenty".