12525677640 has 384 divisors, whose sum is σ = 48837634560. Its totient is φ = 2722148352.

The previous prime is 12525677623. The next prime is 12525677669. The reversal of 12525677640 is 4677652521.

12525677640 is a `hidden beast` number, since 1 + 2 + 525 + 67 + 7 + 64 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11417572 + ... + 11418668.

It is an arithmetic number, because the mean of its divisors is an integer number (127181340).

Almost surely, 2^12525677640 is an apocalyptic number.

12525677640 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 12525677640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24418817280).

12525677640 is an abundant number, since it is smaller than the sum of its proper divisors (36311956920).

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

12525677640 is a wasteful number, since it uses less digits than its factorization.

12525677640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1341 (or 1334 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 12525677640 in words is "twelve billion, five hundred twenty-five million, six hundred seventy-seven thousand, six hundred forty".