56510146560456 has 320 divisors, whose sum is σ = 172401524064000. Its totient is φ = 17225454919680.

The previous prime is 56510146560451. The next prime is 56510146560479. The reversal of 56510146560456 is 65406564101565.

56510146560456 is a `hidden beast` number, since 5 + 6 + 5 + 10 + 14 + 6 + 5 + 604 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (56510146560451) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1524933480 + ... + 1524970536.

It is an arithmetic number, because the mean of its divisors is an integer number (538754762700).

Almost surely, 2^{56510146560456} 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 56510146560456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86200762032000).

56510146560456 is an abundant number, since it is smaller than the sum of its proper divisors (115891377503544).

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

56510146560456 is a wasteful number, since it uses less digits than its factorization.

56510146560456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41394 (or 41381 counting only the distinct ones).

The product of its (nonzero) digits is 12960000, while the sum is 54.

The spelling of 56510146560456 in words is "fifty-six trillion, five hundred ten billion, one hundred forty-six million, five hundred sixty thousand, four hundred fifty-six".