13126897536 has 256 divisors, whose sum is σ = 37939104000. Its totient is φ = 4008296448.

The previous prime is 13126897529. The next prime is 13126897543. The reversal of 13126897536 is 63579862131.

It is an interprime number because it is at equal distance from previous prime (13126897529) and next prime (13126897543).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32094900 + ... + 32095308.

It is an arithmetic number, because the mean of its divisors is an integer number (148199625).

Almost surely, 2^13126897536 is an apocalyptic number.

13126897536 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 13126897536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18969552000).

13126897536 is an abundant number, since it is smaller than the sum of its proper divisors (24812206464).

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

13126897536 is a wasteful number, since it uses less digits than its factorization.

13126897536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581 (or 569 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 51.

The spelling of 13126897536 in words is "thirteen billion, one hundred twenty-six million, eight hundred ninety-seven thousand, five hundred thirty-six".