12835872826980 has 192 divisors, whose sum is σ = 43018819780608. Its totient is φ = 2795996206080.

The previous prime is 12835872826979. The next prime is 12835872827009. The reversal of 12835872826980 is 8962827853821.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 166264 + ... + 5069456.

It is an arithmetic number, because the mean of its divisors is an integer number (224056353024).

Almost surely, 2^{12835872826980} is an apocalyptic number.

12835872826980 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 12835872826980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21509409890304).

12835872826980 is an abundant number, since it is smaller than the sum of its proper divisors (30182946953628).

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

12835872826980 is a wasteful number, since it uses less digits than its factorization.

12835872826980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4903506 (or 4903504 counting only the distinct ones).

The product of its (nonzero) digits is 185794560, while the sum is 69.

The spelling of 12835872826980 in words is "twelve trillion, eight hundred thirty-five billion, eight hundred seventy-two million, eight hundred twenty-six thousand, nine hundred eighty".