13096842528 has 576 divisors, whose sum is σ = 46332518400. Its totient is φ = 3163269120.

The previous prime is 13096842509. The next prime is 13096842547. The reversal of 13096842528 is 82524869031.

It is an interprime number because it is at equal distance from previous prime (13096842509) and next prime (13096842547).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 87898198 + ... + 87898346.

It is an arithmetic number, because the mean of its divisors is an integer number (80438400).

Almost surely, 2^13096842528 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 13096842528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23166259200).

13096842528 is an abundant number, since it is smaller than the sum of its proper divisors (33235675872).

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

13096842528 is a wasteful number, since it uses less digits than its factorization.

13096842528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The spelling of 13096842528 in words is "thirteen billion, ninety-six million, eight hundred forty-two thousand, five hundred twenty-eight".