12987692961600 has 2016 divisors, whose sum is σ = 52551776471040. Its totient is φ = 2796858408960.

The previous prime is 12987692961563. The next prime is 12987692961637. The reversal of 12987692961600 is 616929678921.

It is an interprime number because it is at equal distance from previous prime (12987692961563) and next prime (12987692961637).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 42305188647 + ... + 42305188953.

It is an arithmetic number, because the mean of its divisors is an integer number (26067349440).

Almost surely, 2^{12987692961600} is an apocalyptic number.

12987692961600 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 12987692961600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26275888235520).

12987692961600 is an abundant number, since it is smaller than the sum of its proper divisors (39564083509440).

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

12987692961600 is a wasteful number, since it uses less digits than its factorization.

12987692961600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 66.

The spelling of 12987692961600 in words is "twelve trillion, nine hundred eighty-seven billion, six hundred ninety-two million, nine hundred sixty-one thousand, six hundred".