50945967072 has 1152 divisors, whose sum is σ = 209227898880. Its totient is φ = 11321856000.

The previous prime is 50945967029. The next prime is 50945967097. The reversal of 50945967072 is 27076954905.

50945967072 is a `hidden beast` number, since 50 + 9 + 459 + 6 + 70 + 72 = 666.

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, 388900447 + ... + 388900577.

It is an arithmetic number, because the mean of its divisors is an integer number (181621440).

Almost surely, 2^50945967072 is an apocalyptic number.

50945967072 is a gapful number since it is divisible by the number (52) 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 50945967072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104613949440).

50945967072 is an abundant number, since it is smaller than the sum of its proper divisors (158281931808).

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

50945967072 is a wasteful number, since it uses less digits than its factorization.

50945967072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 54.

The spelling of 50945967072 in words is "fifty billion, nine hundred forty-five million, nine hundred sixty-seven thousand, seventy-two".