75580138800 has 120 divisors (see below), whose sum is σ = 269009347280. Its totient is φ = 20154700800.

The previous prime is 75580138769. The next prime is 75580138801. The reversal of 75580138800 is 883108557.

It is a happy number.

75580138800 is a `hidden beast` number, since 7 + 558 + 0 + 13 + 8 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (75580138801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3488281 + ... + 3509880.

Almost surely, 2^75580138800 is an apocalyptic number.

It is an amenable number.

75580138800 is an abundant number, since it is smaller than the sum of its proper divisors (193429208480).

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

75580138800 is a wasteful number, since it uses less digits than its factorization.

75580138800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6998188 (or 6998171 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

The spelling of 75580138800 in words is "seventy-five billion, five hundred eighty million, one hundred thirty-eight thousand, eight hundred".