75168393516216 has 576 divisors, whose sum is σ = 278896806988800. Its totient is φ = 17794245680640.

The previous prime is 75168393516163. The next prime is 75168393516247. The reversal of 75168393516216 is 61261539386157.

75168393516216 is a `hidden beast` number, since 7 + 5 + 1 + 6 + 8 + 3 + 93 + 516 + 21 + 6 = 666.

75168393516216 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 62030475 + ... + 63230661.

Almost surely, 2^{75168393516216} 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 75168393516216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139448403494400).

75168393516216 is an abundant number, since it is smaller than the sum of its proper divisors (203728413472584).

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

75168393516216 is a wasteful number, since it uses less digits than its factorization.

75168393516216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1200320 (or 1200302 counting only the distinct ones).

The product of its digits is 48988800, while the sum is 63.

The spelling of 75168393516216 in words is "seventy-five trillion, one hundred sixty-eight billion, three hundred ninety-three million, five hundred sixteen thousand, two hundred sixteen".