56557272240 has 240 divisors, whose sum is σ = 217238381568. Its totient is φ = 12917481984.

The previous prime is 56557272227. The next prime is 56557272253. The reversal of 56557272240 is 4227275565.

56557272240 is a `hidden beast` number, since 5 + 6 + 5 + 572 + 72 + 2 + 4 + 0 = 666.

56557272240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (56557272227) and next prime (56557272253).

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 8095789 + ... + 8102771.

Almost surely, 2^56557272240 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 56557272240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108619190784).

56557272240 is an abundant number, since it is smaller than the sum of its proper divisors (160681109328).

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

56557272240 is a wasteful number, since it uses less digits than its factorization.

56557272240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8616 (or 8607 counting only the distinct ones).

The product of its (nonzero) digits is 1176000, while the sum is 45.

The spelling of 56557272240 in words is "fifty-six billion, five hundred fifty-seven million, two hundred seventy-two thousand, two hundred forty".