50791817664 has 224 divisors, whose sum is σ = 170818698240. Its totient is φ = 14497588224.

The previous prime is 50791817653. The next prime is 50791817683. The reversal of 50791817664 is 46671819705.

50791817664 is a `hidden beast` number, since 507 + 9 + 1 + 8 + 1 + 76 + 64 = 666.

50791817664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×50791817664² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 50791817664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20961157 + ... + 20963579.

Almost surely, 2^50791817664 is an apocalyptic number.

50791817664 is a gapful number since it is divisible by the number (54) 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 50791817664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85409349120).

50791817664 is an abundant number, since it is smaller than the sum of its proper divisors (120026880576).

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

50791817664 is a wasteful number, since it uses less digits than its factorization.

50791817664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4184 (or 4168 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 50791817664 in words is "fifty billion, seven hundred ninety-one million, eight hundred seventeen thousand, six hundred sixty-four".