50398857079200 has 864 divisors, whose sum is σ = 210148501635072. Its totient is φ = 11122119936000.

The previous prime is 50398857079157. The next prime is 50398857079253. The reversal of 50398857079200 is 297075889305.

50398857079200 is a `hidden beast` number, since 5 + 0 + 39 + 8 + 8 + 570 + 7 + 9 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 673356979 + ... + 673431821.

It is an arithmetic number, because the mean of its divisors is an integer number (243227432448).

Almost surely, 2^{50398857079200} is an apocalyptic number.

50398857079200 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 50398857079200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105074250817536).

50398857079200 is an abundant number, since it is smaller than the sum of its proper divisors (159749644555872).

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

50398857079200 is a wasteful number, since it uses less digits than its factorization.

50398857079200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75338 (or 75322 counting only the distinct ones).

The product of its (nonzero) digits is 38102400, while the sum is 63.

The spelling of 50398857079200 in words is "fifty trillion, three hundred ninety-eight billion, eight hundred fifty-seven million, seventy-nine thousand, two hundred".