12875690520 has 768 divisors, whose sum is σ = 56043187200. Its totient is φ = 2481684480.

The previous prime is 12875690501. The next prime is 12875690533. The reversal of 12875690520 is 2509657821.

12875690520 is a `hidden beast` number, since 1 + 2 + 87 + 569 + 0 + 5 + 2 + 0 = 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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 41940207 + ... + 41940513.

It is an arithmetic number, because the mean of its divisors is an integer number (72972900).

Almost surely, 2^12875690520 is an apocalyptic number.

12875690520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12875690520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28021593600).

12875690520 is an abundant number, since it is smaller than the sum of its proper divisors (43167496680).

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

12875690520 is a wasteful number, since it uses less digits than its factorization.

12875690520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 12875690520 in words is "twelve billion, eight hundred seventy-five million, six hundred ninety thousand, five hundred twenty".