12785590831104 has 2304 divisors, whose sum is σ = 50339487744000. Its totient is φ = 3169395081216.

The previous prime is 12785590831073. The next prime is 12785590831193. The reversal of 12785590831104 is 40113809558721.

12785590831104 is a `hidden beast` number, since 1 + 2 + 7 + 8 + 5 + 590 + 8 + 31 + 10 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 100673943489 + ... + 100673943615.

It is an arithmetic number, because the mean of its divisors is an integer number (21848736000).

Almost surely, 2^{12785590831104} is an apocalyptic number.

12785590831104 is a gapful number since it is divisible by the number (14) 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 12785590831104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25169743872000).

12785590831104 is an abundant number, since it is smaller than the sum of its proper divisors (37553896912896).

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

12785590831104 is an equidigital number, since it uses as much as digits as its factorization.

12785590831104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 54.

The spelling of 12785590831104 in words is "twelve trillion, seven hundred eighty-five billion, five hundred ninety million, eight hundred thirty-one thousand, one hundred four".