56002560000 has 300 divisors, whose sum is σ = 186712132992. Its totient is φ = 14925824000.

The previous prime is 56002559993. The next prime is 56002560007. The reversal of 56002560000 is 6520065.

It is an interprime number because it is at equal distance from previous prime (56002559993) and next prime (56002560007).

It is a tau number, because it is divible by the number of its divisors (300).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56002560007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 30719089 + ... + 30720911.

Almost surely, 2^56002560000 is an apocalyptic number.

56002560000 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 56002560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93356066496).

56002560000 is an abundant number, since it is smaller than the sum of its proper divisors (130709572992).

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

56002560000 is an frugal number, since it uses more digits than its factorization.

56002560000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1874 (or 1833 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The spelling of 56002560000 in words is "fifty-six billion, two million, five hundred sixty thousand".