50975549856000 has 6480 divisors, whose sum is σ = 252715045879296. Its totient is φ = 10154833920000.

The previous prime is 50975549855939. The next prime is 50975549856041. The reversal of 50975549856000 is 65894557905.

50975549856000 is a `hidden beast` number, since 5 + 0 + 9 + 7 + 5 + 549 + 85 + 6 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6480).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 476407007947 + ... + 476407008053.

Almost surely, 2^{50975549856000} is an apocalyptic number.

50975549856000 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 50975549856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126357522939648).

50975549856000 is an abundant number, since it is smaller than the sum of its proper divisors (201739496023296).

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

50975549856000 is a wasteful number, since it uses less digits than its factorization.

50975549856000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 68040000, while the sum is 63.

The spelling of 50975549856000 in words is "fifty trillion, nine hundred seventy-five billion, five hundred forty-nine million, eight hundred fifty-six thousand".