75312160260480 has 1536 divisors, whose sum is σ = 310923356889600. Its totient is φ = 16556825640960.

The previous prime is 75312160260361. The next prime is 75312160260497. The reversal of 75312160260480 is 8406206121357.

75312160260480 is a `hidden beast` number, since 7 + 5 + 3 + 1 + 2 + 160 + 2 + 6 + 0 + 480 = 666.

75312160260480 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 (45).

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, 23123167012 + ... + 23123170268.

It is an arithmetic number, because the mean of its divisors is an integer number (202424060475).

Almost surely, 2^{75312160260480} 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 75312160260480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155461678444800).

75312160260480 is an abundant number, since it is smaller than the sum of its proper divisors (235611196629120).

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

75312160260480 is a wasteful number, since it uses less digits than its factorization.

75312160260480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3792 (or 3777 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 75312160260480 in words is "seventy-five trillion, three hundred twelve billion, one hundred sixty million, two hundred sixty thousand, four hundred eighty".