12991829760 has 1296 divisors, whose sum is σ = 60827772096. Its totient is φ = 2579890176.

The previous prime is 12991829737. The next prime is 12991829761. The reversal of 12991829760 is 6792819921.

12991829760 is a `hidden beast` number, since 1 + 299 + 1 + 8 + 297 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 12991829697 and 12991829706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12991829761) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 764225272 + ... + 764225288.

Almost surely, 2^12991829760 is an apocalyptic number.

12991829760 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 12991829760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30413886048).

12991829760 is an abundant number, since it is smaller than the sum of its proper divisors (47835942336).

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

12991829760 is an frugal number, since it uses more digits than its factorization.

12991829760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 54.

The spelling of 12991829760 in words is "twelve billion, nine hundred ninety-one million, eight hundred twenty-nine thousand, seven hundred sixty".