56412610144 has 96 divisors (see below), whose sum is σ = 128378579616. Its totient is φ = 24116305920.

The previous prime is 56412610129. The next prime is 56412610153. The reversal of 56412610144 is 44101621465.

It is a Harshad number since it is a multiple of its sum of digits (34).

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, 11564634 + ... + 11569510.

It is an arithmetic number, because the mean of its divisors is an integer number (1337276871).

Almost surely, 2^56412610144 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 56412610144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64189289808).

56412610144 is an abundant number, since it is smaller than the sum of its proper divisors (71965969472).

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

56412610144 is a wasteful number, since it uses less digits than its factorization.

56412610144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6848 (or 6840 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The spelling of 56412610144 in words is "fifty-six billion, four hundred twelve million, six hundred ten thousand, one hundred forty-four".