50493542400 has 624 divisors, whose sum is σ = 212074819200. Its totient is φ = 11536957440.

The previous prime is 50493542381. The next prime is 50493542441. The reversal of 50493542400 is 424539405.

It is a happy number.

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 47 ways as a sum of consecutive naturals, for example, 19352296 + ... + 19354904.

Almost surely, 2^50493542400 is an apocalyptic number.

50493542400 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 50493542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106037409600).

50493542400 is an abundant number, since it is smaller than the sum of its proper divisors (161581276800).

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

50493542400 is a wasteful number, since it uses less digits than its factorization.

50493542400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2659 (or 2626 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 50493542400 in words is "fifty billion, four hundred ninety-three million, five hundred forty-two thousand, four hundred".