56007884160 has 384 divisors, whose sum is σ = 201994884000. Its totient is φ = 14829060096.

The previous prime is 56007884147. The next prime is 56007884167. The reversal of 56007884160 is 6148870065.

It is a happy number.

56007884160 is a `hidden beast` number, since 560 + 0 + 7 + 8 + 84 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56007884167) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23171272 + ... + 23173688.

Almost surely, 2^56007884160 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 56007884160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100997442000).

56007884160 is an abundant number, since it is smaller than the sum of its proper divisors (145986999840).

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

56007884160 is a wasteful number, since it uses less digits than its factorization.

56007884160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2600 (or 2576 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 56007884160 in words is "fifty-six billion, seven million, eight hundred eighty-four thousand, one hundred sixty".