12375535680 has 84 divisors (see below), whose sum is σ = 42566696172. Its totient is φ = 3300142080.

The previous prime is 12375535651. The next prime is 12375535681. The reversal of 12375535680 is 8653557321.

12375535680 is a `hidden beast` number, since 1 + 2 + 37 + 5 + 53 + 568 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5173637184 + 7201898496 = 71928^2 + 84864^2 .

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 (12375535681) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 2145651 + ... + 2151410.

It is an arithmetic number, because the mean of its divisors is an integer number (506746383).

Almost surely, 2^12375535680 is an apocalyptic number.

12375535680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12375535680 is an abundant number, since it is smaller than the sum of its proper divisors (30191160492).

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

12375535680 is a wasteful number, since it uses less digits than its factorization.

12375535680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4297084 (or 4297071 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 12375535680 in words is "twelve billion, three hundred seventy-five million, five hundred thirty-five thousand, six hundred eighty".