12265568640 has 256 divisors, whose sum is σ = 46782993600. Its totient is φ = 3019161600.

The previous prime is 12265568603. The next prime is 12265568657. The reversal of 12265568640 is 4686556221.

12265568640 is a `hidden beast` number, since 1 + 2 + 26 + 5 + 568 + 64 + 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 31 ways as a sum of consecutive naturals, for example, 197340 + ... + 251940.

Almost surely, 2^12265568640 is an apocalyptic number.

12265568640 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 12265568640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23391496800).

12265568640 is an abundant number, since it is smaller than the sum of its proper divisors (34517424960).

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

12265568640 is a wasteful number, since it uses less digits than its factorization.

12265568640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54642 (or 54624 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 12265568640 in words is "twelve billion, two hundred sixty-five million, five hundred sixty-eight thousand, six hundred forty".