75838660560 has 400 divisors, whose sum is σ = 300351932496. Its totient is φ = 17569529856.

The previous prime is 75838660537. The next prime is 75838660613. The reversal of 75838660560 is 6506683857.

75838660560 is a `hidden beast` number, since 7 + 583 + 8 + 6 + 6 + 0 + 56 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 14884976016 + 60953684544 = 122004^2 + 246888^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 75838660497 and 75838660506.

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 1405602 + ... + 1458558.

Almost surely, 2^75838660560 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 75838660560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150175966248).

75838660560 is an abundant number, since it is smaller than the sum of its proper divisors (224513271936).

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

75838660560 is a wasteful number, since it uses less digits than its factorization.

75838660560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53012 (or 52997 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 75838660560 in words is "seventy-five billion, eight hundred thirty-eight million, six hundred sixty thousand, five hundred sixty".