56891248128 has 800 divisors, whose sum is σ = 204378606432. Its totient is φ = 15527116800.

The previous prime is 56891248103. The next prime is 56891248129. The reversal of 56891248128 is 82184219865.

56891248128 is a `hidden beast` number, since 56 + 8 + 91 + 2 + 481 + 28 = 666.

It is a super-2 number, since 2×56891248128² (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (2211840) is a multiple of the sum of its prime factors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56891248129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 314316198 + ... + 314316378.

Almost surely, 2^56891248128 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 56891248128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102189303216).

56891248128 is an abundant number, since it is smaller than the sum of its proper divisors (147487358304).

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

56891248128 is a wasteful number, since it uses less digits than its factorization.

56891248128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 263 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 54.

The spelling of 56891248128 in words is "fifty-six billion, eight hundred ninety-one million, two hundred forty-eight thousand, one hundred twenty-eight".