13002852096 has 216 divisors, whose sum is σ = 41141108736. Its totient is φ = 3924910080.

The previous prime is 13002852077. The next prime is 13002852113. The reversal of 13002852096 is 69025820031.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 13002852096.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1583361 + ... + 1591551.

It is an arithmetic number, because the mean of its divisors is an integer number (190468096).

Almost surely, 2^13002852096 is an apocalyptic number.

13002852096 is a gapful number since it is divisible by the number (16) 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 13002852096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20570554368).

13002852096 is an abundant number, since it is smaller than the sum of its proper divisors (28138256640).

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

13002852096 is a wasteful number, since it uses less digits than its factorization.

13002852096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8279 (or 8262 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 13002852096 in words is "thirteen billion, two million, eight hundred fifty-two thousand, ninety-six".