50353406400 has 336 divisors, whose sum is σ = 181199259648. Its totient is φ = 12140544000.

The previous prime is 50353406399. The next prime is 50353406417. The reversal of 50353406400 is 460435305.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 10082304 + ... + 10087296.

Almost surely, 2^50353406400 is an apocalyptic number.

50353406400 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 50353406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90599629824).

50353406400 is an abundant number, since it is smaller than the sum of its proper divisors (130845853248).

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

50353406400 is a wasteful number, since it uses less digits than its factorization.

50353406400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5220 (or 5205 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

The spelling of 50353406400 in words is "fifty billion, three hundred fifty-three million, four hundred six thousand, four hundred".