12807690000 has 400 divisors, whose sum is σ = 47972643840. Its totient is φ = 2882880000.

The previous prime is 12807689963. The next prime is 12807690011. The reversal of 12807690000 is 9670821.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×12807690000² (a number of 21 digits) contains 22 as substring.

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 79 ways as a sum of consecutive naturals, for example, 14909571 + ... + 14910429.

Almost surely, 2^12807690000 is an apocalyptic number.

12807690000 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 12807690000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23986321920).

12807690000 is an abundant number, since it is smaller than the sum of its proper divisors (35164953840).

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

12807690000 is an equidigital number, since it uses as much as digits as its factorization.

12807690000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 968 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The spelling of 12807690000 in words is "twelve billion, eight hundred seven million, six hundred ninety thousand".