56268881280 has 512 divisors, whose sum is σ = 206337024000. Its totient is φ = 14483349504.

The previous prime is 56268881177. The next prime is 56268881287. The reversal of 56268881280 is 8218886265.

It is a happy number.

56268881280 is a `hidden beast` number, since 5 + 626 + 8 + 8 + 8 + 1 + 2 + 8 + 0 = 666.

56268881280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56268881287) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 64160202 + ... + 64161078.

It is an arithmetic number, because the mean of its divisors is an integer number (403002000).

Almost surely, 2^56268881280 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 56268881280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103168512000).

56268881280 is an abundant number, since it is smaller than the sum of its proper divisors (150068142720).

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

56268881280 is a wasteful number, since it uses less digits than its factorization.

56268881280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1031 (or 1013 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 54.

The spelling of 56268881280 in words is "fifty-six billion, two hundred sixty-eight million, eight hundred eighty-one thousand, two hundred eighty".