12605552640 has 384 divisors, whose sum is σ = 45287424000. Its totient is φ = 3325722624.

The previous prime is 12605552639. The next prime is 12605552653. The reversal of 12605552640 is 4625550621.

12605552640 is a `hidden beast` number, since 1 + 2 + 6 + 0 + 5 + 5 + 5 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a junction number, because it is equal to n+sod(n) for n = 12605552595 and 12605552604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35112781 + ... + 35113139.

It is an arithmetic number, because the mean of its divisors is an integer number (117936000).

Almost surely, 2^12605552640 is an apocalyptic number.

12605552640 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 12605552640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22643712000).

12605552640 is an abundant number, since it is smaller than the sum of its proper divisors (32681871360).

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

12605552640 is a wasteful number, since it uses less digits than its factorization.

12605552640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 12605552640 in words is "twelve billion, six hundred five million, five hundred fifty-two thousand, six hundred forty".