50635716271920 has 1280 divisors, whose sum is σ = 198786636840960. Its totient is φ = 11759327539200.

The previous prime is 50635716271913. The next prime is 50635716271979. The reversal of 50635716271920 is 2917261753605.

It is a happy number.

50635716271920 is a `hidden beast` number, since 5 + 0 + 6 + 3 + 5 + 7 + 1 + 627 + 1 + 9 + 2 + 0 = 666.

50635716271920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 11087301477 + ... + 11087306043.

It is an arithmetic number, because the mean of its divisors is an integer number (155302060032).

Almost surely, 2^{50635716271920} 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 50635716271920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99393318420480).

50635716271920 is an abundant number, since it is smaller than the sum of its proper divisors (148150920569040).

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

50635716271920 is a wasteful number, since it uses less digits than its factorization.

50635716271920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4951 (or 4939 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 54.

The spelling of 50635716271920 in words is "fifty trillion, six hundred thirty-five billion, seven hundred sixteen million, two hundred seventy-one thousand, nine hundred twenty".