50017968000 has 1536 divisors, whose sum is σ = 241872583680. Its totient is φ = 9566208000.

The previous prime is 50017967963. The next prime is 50017968019. The reversal of 50017968000 is 86971005.

50017968000 is a `hidden beast` number, since 500 + 1 + 79 + 6 + 80 + 0 + 0 = 666.

50017968000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 144143827 + ... + 144144173.

It is an arithmetic number, because the mean of its divisors is an integer number (157469130).

Almost surely, 2^50017968000 is an apocalyptic number.

50017968000 is a gapful number since it is divisible by the number (50) 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 50017968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120936291840).

50017968000 is an abundant number, since it is smaller than the sum of its proper divisors (191854615680).

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

50017968000 is a wasteful number, since it uses less digits than its factorization.

50017968000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 50017968000 in words is "fifty billion, seventeen million, nine hundred sixty-eight thousand".