56518625667456 has 512 divisors, whose sum is σ = 173614275072000. Its totient is φ = 18079095767040.

The previous prime is 56518625667431. The next prime is 56518625667481. The reversal of 56518625667456 is 65476652681565.

56518625667456 is a `hidden beast` number, since 5 + 6 + 5 + 1 + 8 + 6 + 2 + 566 + 7 + 4 + 56 = 666.

It is an interprime number because it is at equal distance from previous prime (56518625667431) and next prime (56518625667481).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17008311811 + ... + 17008315133.

It is an arithmetic number, because the mean of its divisors is an integer number (339090381000).

Almost surely, 2^{56518625667456} 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 56518625667456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86807137536000).

56518625667456 is an abundant number, since it is smaller than the sum of its proper divisors (117095649404544).

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

56518625667456 is a wasteful number, since it uses less digits than its factorization.

56518625667456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4359 (or 4341 counting only the distinct ones).

The product of its digits is 2177280000, while the sum is 72.

The spelling of 56518625667456 in words is "fifty-six trillion, five hundred eighteen billion, six hundred twenty-five million, six hundred sixty-seven thousand, four hundred fifty-six".