56501204401152 has 264 divisors, whose sum is σ = 187111476679296. Its totient is φ = 16086152945664.

The previous prime is 56501204401129. The next prime is 56501204401153. The reversal of 56501204401152 is 25110440210565.

56501204401152 is a `hidden beast` number, since 5 + 6 + 50 + 12 + 0 + 440 + 1 + 152 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56501204401153) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16709503 + ... + 19804289.

Almost surely, 2^{56501204401152} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56501204401152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93555738339648).

56501204401152 is an abundant number, since it is smaller than the sum of its proper divisors (130610272278144).

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

56501204401152 is a wasteful number, since it uses less digits than its factorization.

56501204401152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3095103 (or 3095082 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 56501204401152 in words is "fifty-six trillion, five hundred one billion, two hundred four million, four hundred one thousand, one hundred fifty-two".