12795056640 has 240 divisors, whose sum is σ = 44597824128. Its totient is φ = 3390087168.

The previous prime is 12795056581. The next prime is 12795056641. The reversal of 12795056640 is 4665059721.

12795056640 is a `hidden beast` number, since 12 + 79 + 5 + 0 + 566 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (12795056641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3753817 + ... + 3757223.

Almost surely, 2^12795056640 is an apocalyptic number.

12795056640 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 12795056640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22298912064).

12795056640 is an abundant number, since it is smaller than the sum of its proper divisors (31802767488).

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

12795056640 is a wasteful number, since it uses less digits than its factorization.

12795056640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3599 (or 3580 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 12795056640 in words is "twelve billion, seven hundred ninety-five million, fifty-six thousand, six hundred forty".