56568014000 has 80 divisors (see below), whose sum is σ = 137175074400. Its totient is φ = 22562092800.

The previous prime is 56568013979. The next prime is 56568014021. The reversal of 56568014000 is 41086565.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (56568013979) and next prime (56568014021).

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 657479 + ... + 738521.

It is an arithmetic number, because the mean of its divisors is an integer number (1714688430).

Almost surely, 2^56568014000 is an apocalyptic number.

56568014000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56568014000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68587537200).

56568014000 is an abundant number, since it is smaller than the sum of its proper divisors (80607060400).

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

56568014000 is a wasteful number, since it uses less digits than its factorization.

56568014000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81415 (or 81399 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 35.

The spelling of 56568014000 in words is "fifty-six billion, five hundred sixty-eight million, fourteen thousand".