75489895004160 has 3072 divisors, whose sum is σ = 326423701094400. Its totient is φ = 14487516610560.

The previous prime is 75489895004131. The next prime is 75489895004441. The reversal of 75489895004160 is 6140059898457.

75489895004160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a junction number, because it is equal to n+sod(n) for n = 75489895004091 and 75489895004100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 594408622017 + ... + 594408622143.

It is an arithmetic number, because the mean of its divisors is an integer number (106257715200).

Almost surely, 2^{75489895004160} is an apocalyptic number.

75489895004160 is a gapful number since it is divisible by the number (70) 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 75489895004160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163211850547200).

75489895004160 is an abundant number, since it is smaller than the sum of its proper divisors (250933806090240).

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

75489895004160 is a wasteful number, since it uses less digits than its factorization.

75489895004160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 66.

The spelling of 75489895004160 in words is "seventy-five trillion, four hundred eighty-nine billion, eight hundred ninety-five million, four thousand, one hundred sixty".