12785236992 has 396 divisors, whose sum is σ = 42061772376. Its totient is φ = 3851919360.

The previous prime is 12785236991. The next prime is 12785237027. The reversal of 12785236992 is 29963258721.

12785236992 is a `hidden beast` number, since 1 + 27 + 8 + 523 + 6 + 9 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (396).

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

Its product of digits (3265920) is a multiple of the sum of its prime divisors (189).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12785236991) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 73903018 + ... + 73903190.

Almost surely, 2^12785236992 is an apocalyptic number.

12785236992 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 12785236992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21030886188).

12785236992 is an abundant number, since it is smaller than the sum of its proper divisors (29276535384).

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

12785236992 is an frugal number, since it uses more digits than its factorization.

12785236992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 189 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The spelling of 12785236992 in words is "twelve billion, seven hundred eighty-five million, two hundred thirty-six thousand, nine hundred ninety-two".