50199564800 has 720 divisors, whose sum is σ = 163249390656. Its totient is φ = 14856192000.

The previous prime is 50199564781. The next prime is 50199564823. The reversal of 50199564800 is 846599105.

It is a happy number.

It is a super-2 number, since 2×50199564800² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 947161574 + ... + 947161626.

Almost surely, 2^50199564800 is an apocalyptic number.

50199564800 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 50199564800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81624695328).

50199564800 is an abundant number, since it is smaller than the sum of its proper divisors (113049825856).

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

50199564800 is a wasteful number, since it uses less digits than its factorization.

50199564800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 47.

The spelling of 50199564800 in words is "fifty billion, one hundred ninety-nine million, five hundred sixty-four thousand, eight hundred".