50893516800 has 1170 divisors, whose sum is σ = 221904608952. Its totient is φ = 11127029760.

The previous prime is 50893516771. The next prime is 50893516813. The reversal of 50893516800 is 861539805.

50893516800 is a `hidden beast` number, since 50 + 8 + 9 + 3 + 516 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 2212761589 + ... + 2212761611.

Almost surely, 2^50893516800 is an apocalyptic number.

50893516800 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 50893516800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110952304476).

50893516800 is an abundant number, since it is smaller than the sum of its proper divisors (171011092152).

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

50893516800 is an equidigital number, since it uses as much as digits as its factorization.

50893516800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 50893516800 in words is "fifty billion, eight hundred ninety-three million, five hundred sixteen thousand, eight hundred".