50761728000000 has 1862 divisors, whose sum is σ = 201458797036578. Its totient is φ = 12740198400000.

The previous prime is 50761727999977. The next prime is 50761728000007. The reversal of 50761728000000 is 82716705.

50761728000000 is a `hidden beast` number, since 507 + 6 + 1 + 72 + 80 + 0 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 50096498540544 + 665229459456 = 7077888^2 + 815616^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (50761728000007) by changing a digit.

It is a polite number, since it can be written in 97 ways as a sum of consecutive naturals, for example, 2985983999992 + ... + 2985984000008.

Almost surely, 2^{50761728000000} is an apocalyptic number.

50761728000000 is a gapful number since it is divisible by the number (50) 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 50761728000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100729398518289).

50761728000000 is an abundant number, since it is smaller than the sum of its proper divisors (150697069036578).

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

50761728000000 is an frugal number, since it uses more digits than its factorization.

50761728000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The spelling of 50761728000000 in words is "fifty trillion, seven hundred sixty-one billion, seven hundred twenty-eight million", and thus it is an aban number.