12902512896 has 576 divisors, whose sum is σ = 47772695040. Its totient is φ = 3344302080.

The previous prime is 12902512891. The next prime is 12902512901. The reversal of 12902512896 is 69821520921.

It is a happy number.

12902512896 is a `hidden beast` number, since 1 + 290 + 251 + 28 + 96 = 666.

It is an interprime number because it is at equal distance from previous prime (12902512891) and next prime (12902512901).

It is a tau number, because it is divible by the number of its divisors (576).

It is not an unprimeable number, because it can be changed into a prime (12902512891) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45916276 + ... + 45916556.

Almost surely, 2^12902512896 is an apocalyptic number.

12902512896 is a gapful number since it is divisible by the number (16) 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 12902512896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23886347520).

12902512896 is an abundant number, since it is smaller than the sum of its proper divisors (34870182144).

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

12902512896 is a wasteful number, since it uses less digits than its factorization.

12902512896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 12902512896 in words is "twelve billion, nine hundred two million, five hundred twelve thousand, eight hundred ninety-six".