50970856704768 has 4608 divisors, whose sum is σ = 222794927308800. Its totient is φ = 11061279129600.

The previous prime is 50970856704737. The next prime is 50970856704799. The reversal of 50970856704768 is 86740765807905.

50970856704768 is a `hidden beast` number, since 5 + 0 + 9 + 7 + 0 + 85 + 6 + 70 + 476 + 8 = 666.

50970856704768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (50970856704737) and next prime (50970856704799).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 50970856704696 and 50970856704705.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 401345328321 + ... + 401345328447.

It is an arithmetic number, because the mean of its divisors is an integer number (48349593600).

Almost surely, 2^{50970856704768} 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 50970856704768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111397463654400).

50970856704768 is an abundant number, since it is smaller than the sum of its proper divisors (171824070604032).

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

50970856704768 is a wasteful number, since it uses less digits than its factorization.

50970856704768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 711244800, while the sum is 72.

The spelling of 50970856704768 in words is "fifty trillion, nine hundred seventy billion, eight hundred fifty-six million, seven hundred four thousand, seven hundred sixty-eight".