75260540160 has 1296 divisors, whose sum is σ = 308099151360. Its totient is φ = 16907304960.

The previous prime is 75260540111. The next prime is 75260540207. The reversal of 75260540160 is 6104506257.

It is a happy number.

75260540160 is a `hidden beast` number, since 7 + 5 + 2 + 605 + 40 + 1 + 6 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1750245099 + ... + 1750245141.

Almost surely, 2^75260540160 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 75260540160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154049575680).

75260540160 is an abundant number, since it is smaller than the sum of its proper divisors (232838611200).

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

75260540160 is a wasteful number, since it uses less digits than its factorization.

75260540160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 75260540160 in words is "seventy-five billion, two hundred sixty million, five hundred forty thousand, one hundred sixty".