12641529600 has 648 divisors, whose sum is σ = 53959515120. Its totient is φ = 2887557120.

The previous prime is 12641529547. The next prime is 12641529617. The reversal of 12641529600 is 692514621.

12641529600 is a `hidden beast` number, since 1 + 2 + 6 + 41 + 5 + 2 + 9 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8466454 + ... + 8467946.

Almost surely, 2^12641529600 is an apocalyptic number.

12641529600 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 12641529600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26979757560).

12641529600 is an abundant number, since it is smaller than the sum of its proper divisors (41317985520).

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

12641529600 is a wasteful number, since it uses less digits than its factorization.

12641529600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1542 (or 1510 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 12641529600 in words is "twelve billion, six hundred forty-one million, five hundred twenty-nine thousand, six hundred".