56412639360 has 1152 divisors, whose sum is σ = 253278305280. Its totient is φ = 11313561600.

The previous prime is 56412639337. The next prime is 56412639443. The reversal of 56412639360 is 6393621465.

56412639360 is a `hidden beast` number, since 5 + 6 + 4 + 1 + 2 + 639 + 3 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×56412639360² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 151240134 + ... + 151240506.

It is an arithmetic number, because the mean of its divisors is an integer number (219859640).

Almost surely, 2^56412639360 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 56412639360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126639152640).

56412639360 is an abundant number, since it is smaller than the sum of its proper divisors (196865665920).

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

56412639360 is a wasteful number, since it uses less digits than its factorization.

56412639360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 56412639360 in words is "fifty-six billion, four hundred twelve million, six hundred thirty-nine thousand, three hundred sixty".