50118135782400 has 792 divisors, whose sum is σ = 214096602677040. Its totient is φ = 11455566151680.

The previous prime is 50118135782399. The next prime is 50118135782401. The reversal of 50118135782400 is 428753181105.

50118135782400 is a `hidden beast` number, since 5 + 0 + 1 + 181 + 357 + 82 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (50118135782399) and next prime (50118135782401).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50118135782401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 33128914 + ... + 34608686.

Almost surely, 2^{50118135782400} is an apocalyptic number.

50118135782400 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 50118135782400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107048301338520).

50118135782400 is an abundant number, since it is smaller than the sum of its proper divisors (163978466894640).

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

50118135782400 is a wasteful number, since it uses less digits than its factorization.

50118135782400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1479826 (or 1479790 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

The spelling of 50118135782400 in words is "fifty trillion, one hundred eighteen billion, one hundred thirty-five million, seven hundred eighty-two thousand, four hundred".