12997877760 has 896 divisors, whose sum is σ = 55864719360. Its totient is φ = 2802843648.

The previous prime is 12997877747. The next prime is 12997877791. The reversal of 12997877760 is 6777879921.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 178053084 + ... + 178053156.

Almost surely, 2^12997877760 is an apocalyptic number.

12997877760 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 12997877760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27932359680).

12997877760 is an abundant number, since it is smaller than the sum of its proper divisors (42866841600).

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

12997877760 is an equidigital number, since it uses as much as digits as its factorization.

12997877760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 18670176, while the sum is 63.

The spelling of 12997877760 in words is "twelve billion, nine hundred ninety-seven million, eight hundred seventy-seven thousand, seven hundred sixty".