12890692244480 has 528 divisors, whose sum is σ = 33618589589520. Its totient is φ = 4735696896000.

The previous prime is 12890692244453. The next prime is 12890692244483. The reversal of 12890692244480 is 8444229609821.

It can be written as a sum of positive squares in 8 ways, for example, as 1926011044864 + 10964681199616 = 1387808^2 + 3311296^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12890692244483) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8704045340 + ... + 8704046820.

Almost surely, 2^{12890692244480} is an apocalyptic number.

12890692244480 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 12890692244480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16809294794760).

12890692244480 is an abundant number, since it is smaller than the sum of its proper divisors (20727897345040).

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

12890692244480 is a wasteful number, since it uses less digits than its factorization.

12890692244480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1658 (or 1609 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 59.

The spelling of 12890692244480 in words is "twelve trillion, eight hundred ninety billion, six hundred ninety-two million, two hundred forty-four thousand, four hundred eighty".