12692359680 has 960 divisors, whose sum is σ = 55210180608. Its totient is φ = 2415329280.

The previous prime is 12692359663. The next prime is 12692359711. The reversal of 12692359680 is 8695329621.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×12692359680² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 99939777 + ... + 99939903.

Almost surely, 2^12692359680 is an apocalyptic number.

12692359680 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 12692359680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27605090304).

12692359680 is an abundant number, since it is smaller than the sum of its proper divisors (42517820928).

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

12692359680 is a wasteful number, since it uses less digits than its factorization.

12692359680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 51.

The spelling of 12692359680 in words is "twelve billion, six hundred ninety-two million, three hundred fifty-nine thousand, six hundred eighty".