12801249538560 has 800 divisors, whose sum is σ = 53118283819392. Its totient is φ = 2885893816320.

The previous prime is 12801249538537. The next prime is 12801249538579. The reversal of 12801249538560 is 6583594210821.

12801249538560 is a `hidden beast` number, since 1 + 2 + 8 + 0 + 1 + 2 + 49 + 5 + 38 + 560 = 666.

It is a super-2 number, since 2×12801249538560² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 12801249538497 and 12801249538506.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 105900555 + ... + 106021365.

Almost surely, 2^{12801249538560} is an apocalyptic number.

12801249538560 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 12801249538560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26559141909696).

12801249538560 is an abundant number, since it is smaller than the sum of its proper divisors (40317034280832).

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

12801249538560 is an equidigital number, since it uses as much as digits as its factorization.

12801249538560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120926 (or 120901 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 12801249538560 in words is "twelve trillion, eight hundred one billion, two hundred forty-nine million, five hundred thirty-eight thousand, five hundred sixty".