13192816896 has 576 divisors, whose sum is σ = 47721676800. Its totient is φ = 3511517184.

The previous prime is 13192816843. The next prime is 13192816913. The reversal of 13192816896 is 69861829131.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 103880385 + ... + 103880511.

Almost surely, 2^13192816896 is an apocalyptic number.

13192816896 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 13192816896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23860838400).

13192816896 is an abundant number, since it is smaller than the sum of its proper divisors (34528859904).

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

13192816896 is a wasteful number, since it uses less digits than its factorization.

13192816896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 271 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 54.

The spelling of 13192816896 in words is "thirteen billion, one hundred ninety-two million, eight hundred sixteen thousand, eight hundred ninety-six".