75085408604160 has 1248 divisors, whose sum is σ = 278733062919168. Its totient is φ = 18665664675840.

The previous prime is 75085408604159. The next prime is 75085408604233. The reversal of 75085408604160 is 6140680458057.

75085408604160 is a `hidden beast` number, since 7 + 5 + 0 + 8 + 540 + 86 + 0 + 4 + 16 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 75085408604097 and 75085408604106.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15542412945 + ... + 15542417775.

It is an arithmetic number, because the mean of its divisors is an integer number (223343800416).

Almost surely, 2^{75085408604160} 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 75085408604160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139366531459584).

75085408604160 is an abundant number, since it is smaller than the sum of its proper divisors (203647654315008).

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

75085408604160 is a wasteful number, since it uses less digits than its factorization.

75085408604160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4999 (or 4974 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 75085408604160 in words is "seventy-five trillion, eighty-five billion, four hundred eight million, six hundred four thousand, one hundred sixty".