50514540299136 has 1536 divisors, whose sum is σ = 175299018048000. Its totient is φ = 14229394882560.

The previous prime is 50514540299129. The next prime is 50514540299143. The reversal of 50514540299136 is 63199204541505.

It is a happy number.

50514540299136 is a `hidden beast` number, since 5 + 0 + 5 + 1 + 4 + 540 + 2 + 9 + 91 + 3 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (50514540299129) and next prime (50514540299143).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 77357641786 + ... + 77357642438.

It is an arithmetic number, because the mean of its divisors is an integer number (114126964875).

Almost surely, 2^{50514540299136} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50514540299136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87649509024000).

50514540299136 is an abundant number, since it is smaller than the sum of its proper divisors (124784477748864).

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

50514540299136 is a wasteful number, since it uses less digits than its factorization.

50514540299136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 889 (or 848 counting only the distinct ones).

The product of its (nonzero) digits is 5832000, while the sum is 54.

The spelling of 50514540299136 in words is "fifty trillion, five hundred fourteen billion, five hundred forty million, two hundred ninety-nine thousand, one hundred thirty-six".