12826617840 has 160 divisors (see below), whose sum is σ = 44252524800. Its totient is φ = 3414862080.

The previous prime is 12826617833. The next prime is 12826617893. The reversal of 12826617840 is 4871662821.

12826617840 is a `hidden beast` number, since 1 + 2 + 8 + 26 + 617 + 8 + 4 + 0 = 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1418935 + ... + 1427945.

It is an arithmetic number, because the mean of its divisors is an integer number (276578280).

Almost surely, 2^12826617840 is an apocalyptic number.

12826617840 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 12826617840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22126262400).

12826617840 is an abundant number, since it is smaller than the sum of its proper divisors (31425906960).

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

12826617840 is a wasteful number, since it uses less digits than its factorization.

12826617840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9692 (or 9680 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 12826617840 in words is "twelve billion, eight hundred twenty-six million, six hundred seventeen thousand, eight hundred forty".