12902842649088 has 960 divisors, whose sum is σ = 47114422198272. Its totient is φ = 3312221552640.

The previous prime is 12902842649083. The next prime is 12902842649093. The reversal of 12902842649088 is 88094624820921.

12902842649088 is a `hidden beast` number, since 1 + 2 + 9 + 0 + 28 + 42 + 6 + 490 + 88 = 666.

It is an interprime number because it is at equal distance from previous prime (12902842649083) and next prime (12902842649093).

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

It is not an unprimeable number, because it can be changed into a prime (12902842649083) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 11489618895 + ... + 11489620017.

Almost surely, 2^{12902842649088} is an apocalyptic number.

12902842649088 is a gapful number since it is divisible by the number (18) 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 12902842649088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23557211099136).

12902842649088 is an abundant number, since it is smaller than the sum of its proper divisors (34211579549184).

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

12902842649088 is a wasteful number, since it uses less digits than its factorization.

12902842649088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2105 (or 2086 counting only the distinct ones).

The product of its (nonzero) digits is 31850496, while the sum is 63.

The spelling of 12902842649088 in words is "twelve trillion, nine hundred two billion, eight hundred forty-two million, six hundred forty-nine thousand, eighty-eight".