50914171768320 has 1920 divisors, whose sum is σ = 212398033655808. Its totient is φ = 11028765081600.

The previous prime is 50914171768309. The next prime is 50914171768379. The reversal of 50914171768320 is 2386717141905.

50914171768320 is a `hidden beast` number, since 5 + 0 + 9 + 141 + 7 + 176 + 8 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 68525129869 + ... + 68525130611.

It is a 1-persistent number, because it is pandigital, but 2⋅50914171768320 = 101828343536640 is not.

Almost surely, 2^{50914171768320} 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 50914171768320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106199016827904).

50914171768320 is an abundant number, since it is smaller than the sum of its proper divisors (161483861887488).

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

50914171768320 is a wasteful number, since it uses less digits than its factorization.

50914171768320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1104 (or 1085 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 50914171768320 in words is "fifty trillion, nine hundred fourteen billion, one hundred seventy-one million, seven hundred sixty-eight thousand, three hundred twenty".