56100175240256 has 112 divisors (see below), whose sum is σ = 127415980424832. Its totient is φ = 24007269888000.

The previous prime is 56100175240237. The next prime is 56100175240297. The reversal of 56100175240256 is 65204257100165.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1545143255 + ... + 1545179561.

Almost surely, 2^{56100175240256} is an apocalyptic number.

56100175240256 is a gapful number since it is divisible by the number (56) 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 56100175240256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63707990212416).

56100175240256 is an abundant number, since it is smaller than the sum of its proper divisors (71315805184576).

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

56100175240256 is a wasteful number, since it uses less digits than its factorization.

56100175240256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41348 (or 41338 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 44.

The spelling of 56100175240256 in words is "fifty-six trillion, one hundred billion, one hundred seventy-five million, two hundred forty thousand, two hundred fifty-six".