12835249920 has 432 divisors, whose sum is σ = 46365376512. Its totient is φ = 3274629120.

The previous prime is 12835249897. The next prime is 12835249937. The reversal of 12835249920 is 2994253821.

12835249920 is a `hidden beast` number, since 12 + 8 + 3 + 524 + 99 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45354099 + ... + 45354381.

Almost surely, 2^12835249920 is an apocalyptic number.

12835249920 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 12835249920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23182688256).

12835249920 is an abundant number, since it is smaller than the sum of its proper divisors (33530126592).

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

12835249920 is a wasteful number, since it uses less digits than its factorization.

12835249920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 12835249920 in words is "twelve billion, eight hundred thirty-five million, two hundred forty-nine thousand, nine hundred twenty".