56412878586624 has 432 divisors, whose sum is σ = 186821556667200. Its totient is φ = 16037200134144.

The previous prime is 56412878586611. The next prime is 56412878586637. The reversal of 56412878586624 is 42668587821465.

It is a happy number.

56412878586624 is a `hidden beast` number, since 5 + 6 + 4 + 12 + 8 + 7 + 8 + 586 + 6 + 24 = 666.

It is an interprime number because it is at equal distance from previous prime (56412878586611) and next prime (56412878586637).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3509783452 + ... + 3509799524.

It is an arithmetic number, because the mean of its divisors is an integer number (432457307100).

Almost surely, 2^{56412878586624} 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 56412878586624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93410778333600).

56412878586624 is an abundant number, since it is smaller than the sum of its proper divisors (130408678080576).

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

56412878586624 is a wasteful number, since it uses less digits than its factorization.

56412878586624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17180 (or 17163 counting only the distinct ones).

The product of its digits is 1238630400, while the sum is 72.

The spelling of 56412878586624 in words is "fifty-six trillion, four hundred twelve billion, eight hundred seventy-eight million, five hundred eighty-six thousand, six hundred twenty-four".