12299797762560 has 2560 divisors, whose sum is σ = 56766926684160. Its totient is φ = 2449701273600.

The previous prime is 12299797762453. The next prime is 12299797762597. The reversal of 12299797762560 is 6526779799221.

12299797762560 is a `hidden beast` number, since 12 + 299 + 7 + 9 + 7 + 76 + 256 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 20953658587 + ... + 20953659173.

It is an arithmetic number, because the mean of its divisors is an integer number (22174580736).

Almost surely, 2^{12299797762560} is an apocalyptic number.

12299797762560 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 12299797762560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28383463342080).

12299797762560 is an abundant number, since it is smaller than the sum of its proper divisors (44467128921600).

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

12299797762560 is a wasteful number, since it uses less digits than its factorization.

12299797762560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 360067680, while the sum is 72.

The spelling of 12299797762560 in words is "twelve trillion, two hundred ninety-nine billion, seven hundred ninety-seven million, seven hundred sixty-two thousand, five hundred sixty".