12883691520 has 720 divisors, whose sum is σ = 53888054220. Its totient is φ = 2935554048.

The previous prime is 12883691461. The next prime is 12883691563. The reversal of 12883691520 is 2519638821.

12883691520 is a `hidden beast` number, since 1 + 2 + 8 + 8 + 36 + 91 + 520 = 666.

12883691520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 11416495104 + 1467196416 = 106848^2 + 38304^2 .

It is a tau number, because it is divible by the number of its divisors (720).

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 (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 40642402 + ... + 40642718.

Almost surely, 2^12883691520 is an apocalyptic number.

12883691520 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 12883691520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26944027110).

12883691520 is an abundant number, since it is smaller than the sum of its proper divisors (41004362700).

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

12883691520 is an equidigital number, since it uses as much as digits as its factorization.

12883691520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 12883691520 in words is "twelve billion, eight hundred eighty-three million, six hundred ninety-one thousand, five hundred twenty".