50957509344 has 288 divisors, whose sum is σ = 166316855040. Its totient is φ = 13344860160.

The previous prime is 50957509331. The next prime is 50957509387. The reversal of 50957509344 is 44390575905.

It is a super-3 number, since 3×50957509344³ (a number of 33 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12267972 + ... + 12272124.

It is an arithmetic number, because the mean of its divisors is an integer number (577489080).

Almost surely, 2^50957509344 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 50957509344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83158427520).

50957509344 is an abundant number, since it is smaller than the sum of its proper divisors (115359345696).

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

50957509344 is a wasteful number, since it uses less digits than its factorization.

50957509344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4254 (or 4215 counting only the distinct ones).

The product of its (nonzero) digits is 3402000, while the sum is 51.

The spelling of 50957509344 in words is "fifty billion, nine hundred fifty-seven million, five hundred nine thousand, three hundred forty-four".