50994124800 has 576 divisors, whose sum is σ = 182069596800. Its totient is φ = 12543590400.

The previous prime is 50994124751. The next prime is 50994124801. The reversal of 50994124800 is 842149905.

50994124800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×50994124800³ (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50994124801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 154060635 + ... + 154060965.

It is an arithmetic number, because the mean of its divisors is an integer number (316093050).

Almost surely, 2^50994124800 is an apocalyptic number.

50994124800 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 50994124800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91034798400).

50994124800 is an abundant number, since it is smaller than the sum of its proper divisors (131075472000).

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

50994124800 is a wasteful number, since it uses less digits than its factorization.

50994124800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The spelling of 50994124800 in words is "fifty billion, nine hundred ninety-four million, one hundred twenty-four thousand, eight hundred".