56454064560 has 200 divisors, whose sum is σ = 197908221456. Its totient is φ = 14913538560.

The previous prime is 56454064547. The next prime is 56454064571. The reversal of 56454064560 is 6546045465.

56454064560 is a `hidden beast` number, since 5 + 6 + 4 + 540 + 6 + 45 + 60 = 666.

It is a super-2 number, since 2×56454064560² (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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 652650 + ... + 734070.

Almost surely, 2^56454064560 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 56454064560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98954110728).

56454064560 is an abundant number, since it is smaller than the sum of its proper divisors (141454156896).

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

56454064560 is a wasteful number, since it uses less digits than its factorization.

56454064560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81553 (or 81538 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

The spelling of 56454064560 in words is "fifty-six billion, four hundred fifty-four million, sixty-four thousand, five hundred sixty".