56889773107200 has 3456 divisors, whose sum is σ = 250499248272000. Its totient is φ = 12506628096000.

The previous prime is 56889773107147. The next prime is 56889773107243. The reversal of 56889773107200 is 270137798865.

It is a tau number, because it is divible by the number of its divisors (3456).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 248426956686 + ... + 248426956914.

It is an arithmetic number, because the mean of its divisors is an integer number (72482421375).

Almost surely, 2^{56889773107200} is an apocalyptic number.

56889773107200 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 56889773107200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125249624136000).

56889773107200 is an abundant number, since it is smaller than the sum of its proper divisors (193609475164800).

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

56889773107200 is a wasteful number, since it uses less digits than its factorization.

56889773107200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 35562240, while the sum is 63.

The spelling of 56889773107200 in words is "fifty-six trillion, eight hundred eighty-nine billion, seven hundred seventy-three million, one hundred seven thousand, two hundred".