75705257500020 has 72 divisors (see below), whose sum is σ = 230172087075840. Its totient is φ = 20141228579520.

The previous prime is 75705257499983. The next prime is 75705257500123. The reversal of 75705257500020 is 2000575250757.

75705257500020 is a `hidden beast` number, since 7 + 5 + 7 + 0 + 52 + 575 + 0 + 0 + 0 + 20 = 666.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 487839780 + ... + 487994939.

It is an arithmetic number, because the mean of its divisors is an integer number (3196834542720).

Almost surely, 2^{75705257500020} is an apocalyptic number.

It is an amenable number.

75705257500020 is an abundant number, since it is smaller than the sum of its proper divisors (154466829575820).

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

75705257500020 is a wasteful number, since it uses less digits than its factorization.

75705257500020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 975835165 (or 975835160 counting only the distinct ones).

The product of its (nonzero) digits is 857500, while the sum is 45.

The spelling of 75705257500020 in words is "seventy-five trillion, seven hundred five billion, two hundred fifty-seven million, five hundred thousand, twenty".