56242181520 has 1600 divisors, whose sum is σ = 252216999936. Its totient is φ = 11331809280.

The previous prime is 56242181509. The next prime is 56242181533. The reversal of 56242181520 is 2518124265.

56242181520 is a `hidden beast` number, since 5 + 624 + 2 + 1 + 8 + 1 + 5 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1196642137 + ... + 1196642183.

Almost surely, 2^56242181520 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 56242181520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126108499968).

56242181520 is an abundant number, since it is smaller than the sum of its proper divisors (195974818416).

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

56242181520 is a wasteful number, since it uses less digits than its factorization.

56242181520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 56242181520 in words is "fifty-six billion, two hundred forty-two million, one hundred eighty-one thousand, five hundred twenty".