50258793344400 has 90 divisors (see below), whose sum is σ = 174411973693490. Its totient is φ = 13402344890880.

The previous prime is 50258793344399. The next prime is 50258793344429. The reversal of 50258793344400 is 444339785205.

50258793344400 is a `hidden beast` number, since 5 + 0 + 2 + 5 + 87 + 93 + 34 + 440 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 4993401406464 + 45265391937936 = 2234592^2 + 6727956^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-2 number, since 2×50258793344400² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6980384365 + ... + 6980391564.

Almost surely, 2^{50258793344400} is an apocalyptic number.

50258793344400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

50258793344400 is an abundant number, since it is smaller than the sum of its proper divisors (124153180349090).

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

50258793344400 is a wasteful number, since it uses less digits than its factorization.

50258793344400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13960775953 (or 13960775939 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 50258793344400 in words is "fifty trillion, two hundred fifty-eight billion, seven hundred ninety-three million, three hundred forty-four thousand, four hundred".