50359008960 has 672 divisors, whose sum is σ = 199811469312. Its totient is φ = 11988725760.

The previous prime is 50359008937. The next prime is 50359008961. The reversal of 50359008960 is 6980095305.

50359008960 is a `hidden beast` number, since 50 + 3 + 590 + 0 + 8 + 9 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (50359008961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31336477 + ... + 31338083.

It is an arithmetic number, because the mean of its divisors is an integer number (297338496).

Almost surely, 2^50359008960 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 50359008960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99905734656).

50359008960 is an abundant number, since it is smaller than the sum of its proper divisors (149452460352).

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

50359008960 is a wasteful number, since it uses less digits than its factorization.

50359008960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1683 (or 1661 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The spelling of 50359008960 in words is "fifty billion, three hundred fifty-nine million, eight thousand, nine hundred sixty".