50101351960608 has 288 divisors, whose sum is σ = 162552792847536. Its totient is φ = 14500791189504.

The previous prime is 50101351960549. The next prime is 50101351960613. The reversal of 50101351960608 is 80606915310105.

50101351960608 is a `hidden beast` number, since 5 + 0 + 1 + 0 + 1 + 35 + 1 + 9 + 6 + 0 + 608 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 8241331875984 + 41860020084624 = 2870772^2 + 6469932^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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, 112881010 + ... + 113323982.

Almost surely, 2^{50101351960608} 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 50101351960608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81276396423768).

50101351960608 is an abundant number, since it is smaller than the sum of its proper divisors (112451440886928).

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

50101351960608 is a wasteful number, since it uses less digits than its factorization.

50101351960608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444796 (or 444785 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The spelling of 50101351960608 in words is "fifty trillion, one hundred one billion, three hundred fifty-one million, nine hundred sixty thousand, six hundred eight".