50192113382400 has 1584 divisors, whose sum is σ = 186674452070400. Its totient is φ = 11882078208000.

The previous prime is 50192113382363. The next prime is 50192113382417. The reversal of 50192113382400 is 428331129105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 83793177301 + ... + 83793177899.

Almost surely, 2^{50192113382400} is an apocalyptic number.

50192113382400 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 50192113382400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93337226035200).

50192113382400 is an abundant number, since it is smaller than the sum of its proper divisors (136482338688000).

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

50192113382400 is a wasteful number, since it uses less digits than its factorization.

50192113382400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 852 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The spelling of 50192113382400 in words is "fifty trillion, one hundred ninety-two billion, one hundred thirteen million, three hundred eighty-two thousand, four hundred".