13009091778528 has 384 divisors, whose sum is σ = 36950914990080. Its totient is φ = 4000340736000.

The previous prime is 13009091778523. The next prime is 13009091778533. The reversal of 13009091778528 is 82587719090031.

It is an interprime number because it is at equal distance from previous prime (13009091778523) and next prime (13009091778533).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13009091778521) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 760445751 + ... + 760462857.

It is an arithmetic number, because the mean of its divisors is an integer number (96226341120).

Almost surely, 2^{13009091778528} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13009091778528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18475457495040).

13009091778528 is an abundant number, since it is smaller than the sum of its proper divisors (23941823211552).

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

13009091778528 is a wasteful number, since it uses less digits than its factorization.

13009091778528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17342 (or 17334 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 60.

The spelling of 13009091778528 in words is "thirteen trillion, nine billion, ninety-one million, seven hundred seventy-eight thousand, five hundred twenty-eight".