12789001636992 has 384 divisors, whose sum is σ = 45421898256000. Its totient is φ = 3527999096832.

The previous prime is 12789001636991. The next prime is 12789001637033. The reversal of 12789001636992 is 29963610098721.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (12789001636991) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3608893 + ... + 6213059.

It is an arithmetic number, because the mean of its divisors is an integer number (118286193375).

Almost surely, 2^{12789001636992} is an apocalyptic number.

12789001636992 is a gapful number since it is divisible by the number (12) 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 12789001636992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22710949128000).

12789001636992 is an abundant number, since it is smaller than the sum of its proper divisors (32632896619008).

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

12789001636992 is a wasteful number, since it uses less digits than its factorization.

12789001636992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2604233 (or 2604208 counting only the distinct ones).

The product of its (nonzero) digits is 17635968, while the sum is 63.

The spelling of 12789001636992 in words is "twelve trillion, seven hundred eighty-nine billion, one million, six hundred thirty-six thousand, nine hundred ninety-two".