50636640096000 has 1728 divisors, whose sum is σ = 221380260192000. Its totient is φ = 10848986726400.

The previous prime is 50636640095959. The next prime is 50636640096037. The reversal of 50636640096000 is 69004663605.

50636640096000 is a `hidden beast` number, since 5 + 0 + 6 + 36 + 6 + 4 + 0 + 0 + 9 + 600 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8807901126 + ... + 8807906874.

It is an arithmetic number, because the mean of its divisors is an integer number (128113576500).

Almost surely, 2^{50636640096000} is an apocalyptic number.

50636640096000 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 50636640096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110690130096000).

50636640096000 is an abundant number, since it is smaller than the sum of its proper divisors (170743620096000).

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

50636640096000 is a wasteful number, since it uses less digits than its factorization.

50636640096000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6067 (or 6040 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 50636640096000 in words is "fifty trillion, six hundred thirty-six billion, six hundred forty million, ninety-six thousand".