56004860889600 has 1920 divisors, whose sum is σ = 221251970396160. Its totient is φ = 12225282048000.

The previous prime is 56004860889581. The next prime is 56004860889617. The reversal of 56004860889600 is 698806840065.

56004860889600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 84984614071 + ... + 84984614729.

It is an arithmetic number, because the mean of its divisors is an integer number (115235401248).

Almost surely, 2^{56004860889600} is an apocalyptic number.

56004860889600 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 56004860889600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110625985198080).

56004860889600 is an abundant number, since it is smaller than the sum of its proper divisors (165247109506560).

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

56004860889600 is a wasteful number, since it uses less digits than its factorization.

56004860889600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 902 (or 881 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 60.

The spelling of 56004860889600 in words is "fifty-six trillion, four billion, eight hundred sixty million, eight hundred eighty-nine thousand, six hundred".