50904508760064 has 384 divisors, whose sum is σ = 151928794368000. Its totient is φ = 16406768517120.

The previous prime is 50904508760041. The next prime is 50904508760081. The reversal of 50904508760064 is 46006780540905.

50904508760064 is a `hidden beast` number, since 5 + 0 + 9 + 0 + 4 + 508 + 76 + 0 + 0 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18860505787 + ... + 18860508485.

It is an arithmetic number, because the mean of its divisors is an integer number (395647902000).

Almost surely, 2^{50904508760064} 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 50904508760064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75964397184000).

50904508760064 is an abundant number, since it is smaller than the sum of its proper divisors (101024285607936).

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

50904508760064 is a wasteful number, since it uses less digits than its factorization.

50904508760064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4829 (or 4798 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 50904508760064 in words is "fifty trillion, nine hundred four billion, five hundred eight million, seven hundred sixty thousand, sixty-four".