56841153600 has 1344 divisors, whose sum is σ = 247888134144. Its totient is φ = 11151360000.

The previous prime is 56841153587. The next prime is 56841153601. The reversal of 56841153600 is 635114865.

It is a tau number, because it is divible by the number of its divisors (1344).

It is not an unprimeable number, because it can be changed into a prime (56841153601) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1386369580 + ... + 1386369620.

It is an arithmetic number, because the mean of its divisors is an integer number (184440576).

Almost surely, 2^56841153600 is an apocalyptic number.

56841153600 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 56841153600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123944067072).

56841153600 is an abundant number, since it is smaller than the sum of its proper divisors (191046980544).

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

56841153600 is a wasteful number, since it uses less digits than its factorization.

56841153600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The spelling of 56841153600 in words is "fifty-six billion, eight hundred forty-one million, one hundred fifty-three thousand, six hundred".