56689756118016 has 176 divisors, whose sum is σ = 172746255325440. Its totient is φ = 16191273369600.

The previous prime is 56689756117909. The next prime is 56689756118077. The reversal of 56689756118016 is 61081165798665.

It is a congruent number.

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, 59762115 + ... + 60703293.

Almost surely, 2^{56689756118016} is an apocalyptic number.

56689756118016 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 56689756118016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86373127662720).

56689756118016 is an abundant number, since it is smaller than the sum of its proper divisors (116056499207424).

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

56689756118016 is a wasteful number, since it uses less digits than its factorization.

56689756118016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 944010 (or 943992 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 69.

The spelling of 56689756118016 in words is "fifty-six trillion, six hundred eighty-nine billion, seven hundred fifty-six million, one hundred eighteen thousand, sixteen".