50782729870080 has 2304 divisors, whose sum is σ = 216228173414400. Its totient is φ = 11164952494080.

The previous prime is 50782729870073. The next prime is 50782729870123. The reversal of 50782729870080 is 8007892728705.

50782729870080 is a `hidden beast` number, since 507 + 8 + 27 + 29 + 8 + 7 + 0 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 13939808739 + ... + 13939812381.

It is an arithmetic number, because the mean of its divisors is an integer number (93849033600).

Almost surely, 2^{50782729870080} 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 50782729870080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108114086707200).

50782729870080 is an abundant number, since it is smaller than the sum of its proper divisors (165445443544320).

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

50782729870080 is a wasteful number, since it uses less digits than its factorization.

50782729870080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3799 (or 3779 counting only the distinct ones).

The product of its (nonzero) digits is 31610880, while the sum is 63.

The spelling of 50782729870080 in words is "fifty trillion, seven hundred eighty-two billion, seven hundred twenty-nine million, eight hundred seventy thousand, eighty".