56274730560 has 280 divisors, whose sum is σ = 202928119416. Its totient is φ = 14800527360.

The previous prime is 56274730553. The next prime is 56274730597. The reversal of 56274730560 is 6503747265.

56274730560 is a `hidden beast` number, since 56 + 2 + 7 + 4 + 7 + 30 + 560 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 16870892544 + 39403838016 = 129888^2 + 198504^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1877290 + ... + 1907030.

Almost surely, 2^56274730560 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 56274730560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101464059708).

56274730560 is an abundant number, since it is smaller than the sum of its proper divisors (146653388856).

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

56274730560 is a wasteful number, since it uses less digits than its factorization.

56274730560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29843 (or 29824 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 45.

The spelling of 56274730560 in words is "fifty-six billion, two hundred seventy-four million, seven hundred thirty thousand, five hundred sixty".