13265322840 has 768 divisors, whose sum is σ = 56932761600. Its totient is φ = 2598220800.

The previous prime is 13265322793. The next prime is 13265322869. The reversal of 13265322840 is 4822356231.

13265322840 is a `hidden beast` number, since 1 + 326 + 5 + 322 + 8 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13265322795 and 13265322804.

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, 36950581 + ... + 36950939.

It is an arithmetic number, because the mean of its divisors is an integer number (74131200).

Almost surely, 2^13265322840 is an apocalyptic number.

13265322840 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 13265322840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28466380800).

13265322840 is an abundant number, since it is smaller than the sum of its proper divisors (43667438760).

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

13265322840 is a wasteful number, since it uses less digits than its factorization.

13265322840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 13265322840 in words is "thirteen billion, two hundred sixty-five million, three hundred twenty-two thousand, eight hundred forty".