12992353920 has 576 divisors, whose sum is σ = 56219403240. Its totient is φ = 2740469760.

The previous prime is 12992353901. The next prime is 12992353931. The reversal of 12992353920 is 2935329921.

12992353920 is a `hidden beast` number, since 1 + 2 + 9 + 92 + 3 + 539 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7602444864 + 5389909056 = 87192^2 + 73416^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3667350 + ... + 3670890.

Almost surely, 2^12992353920 is an apocalyptic number.

12992353920 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 12992353920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28109701620).

12992353920 is an abundant number, since it is smaller than the sum of its proper divisors (43227049320).

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

12992353920 is a wasteful number, since it uses less digits than its factorization.

12992353920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3593 (or 3571 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The spelling of 12992353920 in words is "twelve billion, nine hundred ninety-two million, three hundred fifty-three thousand, nine hundred twenty".