56587333440 has 448 divisors, whose sum is σ = 205410816000. Its totient is φ = 13071851520.

The previous prime is 56587333409. The next prime is 56587333447. The reversal of 56587333440 is 4433378565.

56587333440 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 (48).

It is a self number, because there is not a number n which added to its sum of digits gives 56587333440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56587333447) 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, 24191791 + ... + 24194129.

Almost surely, 2^56587333440 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 56587333440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102705408000).

56587333440 is an abundant number, since it is smaller than the sum of its proper divisors (148823482560).

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

56587333440 is a wasteful number, since it uses less digits than its factorization.

56587333440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2478 (or 2468 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 48.

The spelling of 56587333440 in words is "fifty-six billion, five hundred eighty-seven million, three hundred thirty-three thousand, four hundred forty".