50009074061184 has 1152 divisors, whose sum is σ = 185980728960000. Its totient is φ = 13068675551232.

The previous prime is 50009074061183. The next prime is 50009074061231. The reversal of 50009074061184 is 48116047090005.

50009074061184 is a `hidden beast` number, since 500 + 0 + 9 + 0 + 7 + 4 + 0 + 61 + 1 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50009074061183) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3239131737 + ... + 3239147175.

It is an arithmetic number, because the mean of its divisors is an integer number (161441605000).

Almost surely, 2^{50009074061184} is an apocalyptic number.

50009074061184 is a gapful number since it is divisible by the number (54) 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 50009074061184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92990364480000).

50009074061184 is an abundant number, since it is smaller than the sum of its proper divisors (135971654898816).

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

50009074061184 is an equidigital number, since it uses as much as digits as its factorization.

50009074061184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15532 (or 15499 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 50009074061184 in words is "fifty trillion, nine billion, seventy-four million, sixty-one thousand, one hundred eighty-four".