56217248640 has 1024 divisors, whose sum is σ = 244055808000. Its totient is φ = 11943936000.

The previous prime is 56217248603. The next prime is 56217248651. The reversal of 56217248640 is 4684271265.

56217248640 is a `hidden beast` number, since 5 + 62 + 1 + 72 + 486 + 40 = 666.

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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 140192440 + ... + 140192840.

It is an arithmetic number, because the mean of its divisors is an integer number (238335750).

Almost surely, 2^56217248640 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 56217248640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122027904000).

56217248640 is an abundant number, since it is smaller than the sum of its proper divisors (187838559360).

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

56217248640 is a wasteful number, since it uses less digits than its factorization.

56217248640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 56217248640 in words is "fifty-six billion, two hundred seventeen million, two hundred forty-eight thousand, six hundred forty".