50509451664 has 240 divisors, whose sum is σ = 169595811840. Its totient is φ = 14350452480.

The previous prime is 50509451647. The next prime is 50509451677. The reversal of 50509451664 is 46615490505.

50509451664 is a `hidden beast` number, since 505 + 0 + 94 + 51 + 6 + 6 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3824817 + ... + 3837999.

It is an arithmetic number, because the mean of its divisors is an integer number (706649216).

Almost surely, 2^50509451664 is an apocalyptic number.

50509451664 is a gapful number since it is divisible by the number (54) 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 50509451664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84797905920).

50509451664 is an abundant number, since it is smaller than the sum of its proper divisors (119086360176).

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

50509451664 is a wasteful number, since it uses less digits than its factorization.

50509451664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13395 (or 13376 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 50509451664 in words is "fifty billion, five hundred nine million, four hundred fifty-one thousand, six hundred sixty-four".