56408625024 has 128 divisors (see below), whose sum is σ = 151152372000. Its totient is φ = 18638168064.

The previous prime is 56408624969. The next prime is 56408625073. The reversal of 56408625024 is 42052680465.

It is a happy number.

It is a Cunningham number, because it is equal to 237505²-1.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45600534 + ... + 45601770.

Almost surely, 2^56408625024 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 56408625024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75576186000).

56408625024 is an abundant number, since it is smaller than the sum of its proper divisors (94743746976).

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

56408625024 is a wasteful number, since it uses less digits than its factorization.

56408625024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2200 (or 2188 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 42.

The spelling of 56408625024 in words is "fifty-six billion, four hundred eight million, six hundred twenty-five thousand, twenty-four".