12835749888 has 432 divisors, whose sum is σ = 42748183296. Its totient is φ = 3822059520.

The previous prime is 12835749847. The next prime is 12835749929. The reversal of 12835749888 is 88894753821.

12835749888 is a `hidden beast` number, since 12 + 8 + 3 + 57 + 498 + 88 = 666.

It is an interprime number because it is at equal distance from previous prime (12835749847) and next prime (12835749929).

It is a tau number, because it is divible by the number of its divisors (432).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 414056433 + ... + 414056463.

It is an arithmetic number, because the mean of its divisors is an integer number (98954128).

Almost surely, 2^12835749888 is an apocalyptic number.

12835749888 is a gapful number since it is divisible by the number (18) 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 12835749888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21374091648).

12835749888 is an abundant number, since it is smaller than the sum of its proper divisors (29912433408).

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

12835749888 is an frugal number, since it uses more digits than its factorization.

12835749888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 49 counting only the distinct ones).

The product of its digits is 30965760, while the sum is 63.

The spelling of 12835749888 in words is "twelve billion, eight hundred thirty-five million, seven hundred forty-nine thousand, eight hundred eighty-eight".