50805056727360 has 2352 divisors, whose sum is σ = 208850510913840. Its totient is φ = 11738500300800.

The previous prime is 50805056727319. The next prime is 50805056727391. The reversal of 50805056727360 is 6372765050805.

50805056727360 is a `hidden beast` number, since 5 + 0 + 8 + 0 + 5 + 0 + 567 + 2 + 73 + 6 + 0 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 48968533053504 + 1836523673856 = 6997752^2 + 1355184^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 50805056727297 and 50805056727306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 42302294760 + ... + 42302295960.

Almost surely, 2^{50805056727360} 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 50805056727360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104425255456920).

50805056727360 is an abundant number, since it is smaller than the sum of its proper divisors (158045454186480).

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

50805056727360 is a wasteful number, since it uses less digits than its factorization.

50805056727360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1328 (or 1290 counting only the distinct ones).

The product of its (nonzero) digits is 10584000, while the sum is 54.

The spelling of 50805056727360 in words is "fifty trillion, eight hundred five billion, fifty-six million, seven hundred twenty-seven thousand, three hundred sixty".