56377614570750 has 384 divisors, whose sum is σ = 168163254230400. Its totient is φ = 13514978304000.

The previous prime is 56377614570713. The next prime is 56377614570769. The reversal of 56377614570750 is 5707541677365.

56377614570750 is a `hidden beast` number, since 5 + 6 + 3 + 7 + 7 + 6 + 1 + 4 + 570 + 7 + 50 = 666.

It is a super-3 number, since 3×56377614570750³ (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1373134222 + ... + 1373175278.

It is an arithmetic number, because the mean of its divisors is an integer number (437925141225).

Almost surely, 2^{56377614570750} is an apocalyptic number.

56377614570750 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 56377614570750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84081627115200).

56377614570750 is an abundant number, since it is smaller than the sum of its proper divisors (111785639659650).

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

56377614570750 is a wasteful number, since it uses less digits than its factorization.

56377614570750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41709 (or 41696 counting only the distinct ones).

The product of its (nonzero) digits is 129654000, while the sum is 63.

The spelling of 56377614570750 in words is "fifty-six trillion, three hundred seventy-seven billion, six hundred fourteen million, five hundred seventy thousand, seven hundred fifty".