56128246272 has 800 divisors, whose sum is σ = 203202172800. Its totient is φ = 15086518272.

The previous prime is 56128246267. The next prime is 56128246303. The reversal of 56128246272 is 27264282165.

56128246272 is a `hidden beast` number, since 5 + 6 + 12 + 8 + 2 + 4 + 627 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 496710088 + ... + 496710200.

It is an arithmetic number, because the mean of its divisors is an integer number (254002716).

Almost surely, 2^56128246272 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 56128246272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101601086400).

56128246272 is an abundant number, since it is smaller than the sum of its proper divisors (147073926528).

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

56128246272 is a wasteful number, since it uses less digits than its factorization.

56128246272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 213 counting only the distinct ones).

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

The spelling of 56128246272 in words is "fifty-six billion, one hundred twenty-eight million, two hundred forty-six thousand, two hundred seventy-two".