50891117918400 has 1176 divisors, whose sum is σ = 196948222795680. Its totient is φ = 12912350330880.

The previous prime is 50891117918351. The next prime is 50891117918449. The reversal of 50891117918400 is 481971119805.

50891117918400 is a `hidden beast` number, since 50 + 8 + 9 + 1 + 1 + 179 + 18 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (50891117918351) and next prime (50891117918449).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 5177644686 + ... + 5177654514.

Almost surely, 2^{50891117918400} is an apocalyptic number.

50891117918400 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 50891117918400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98474111397840).

50891117918400 is an abundant number, since it is smaller than the sum of its proper divisors (146057104877280).

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

50891117918400 is a wasteful number, since it uses less digits than its factorization.

50891117918400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10085 (or 10055 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 54.

The spelling of 50891117918400 in words is "fifty trillion, eight hundred ninety-one billion, one hundred seventeen million, nine hundred eighteen thousand, four hundred".