50975318016000 has 1632 divisors, whose sum is σ = 215014253845248. Its totient is φ = 11375581593600.

The previous prime is 50975318015989. The next prime is 50975318016017. The reversal of 50975318016000 is 61081357905.

It is a happy number.

50975318016000 is a `hidden beast` number, since 5 + 0 + 9 + 7 + 5 + 31 + 8 + 0 + 1 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22192126852 + ... + 22192129148.

Almost surely, 2^{50975318016000} is an apocalyptic number.

50975318016000 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 50975318016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107507126922624).

50975318016000 is an abundant number, since it is smaller than the sum of its proper divisors (164038935829248).

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

50975318016000 is an equidigital number, since it uses as much as digits as its factorization.

50975318016000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2400 (or 2357 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The spelling of 50975318016000 in words is "fifty trillion, nine hundred seventy-five billion, three hundred eighteen million, sixteen thousand".