12992640570 has 480 divisors, whose sum is σ = 44320122000. Its totient is φ = 2722906368.

The previous prime is 12992640509. The next prime is 12992640599. The reversal of 12992640570 is 7504629921.

12992640570 is a `hidden beast` number, since 12 + 9 + 9 + 2 + 64 + 0 + 570 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2793862449 + 10198778121 = 52857^2 + 100989^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 87198856 + ... + 87199004.

Almost surely, 2^12992640570 is an apocalyptic number.

12992640570 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12992640570, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22160061000).

12992640570 is an abundant number, since it is smaller than the sum of its proper divisors (31327481430).

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

12992640570 is a wasteful number, since it uses less digits than its factorization.

12992640570 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 12992640570 in words is "twelve billion, nine hundred ninety-two million, six hundred forty thousand, five hundred seventy".