13020496896 has 176 divisors, whose sum is σ = 37983804480. Its totient is φ = 3932651520.

The previous prime is 13020496891. The next prime is 13020496897. The reversal of 13020496896 is 69869402031.

It is a tau number, because it is divible by the number of its divisors (176).

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

It is not an unprimeable number, because it can be changed into a prime (13020496891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17199750 + ... + 17200506.

Almost surely, 2^13020496896 is an apocalyptic number.

13020496896 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 13020496896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18991902240).

13020496896 is an abundant number, since it is smaller than the sum of its proper divisors (24963307584).

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

13020496896 is a wasteful number, since it uses less digits than its factorization.

13020496896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1300 (or 1282 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 48.

The spelling of 13020496896 in words is "thirteen billion, twenty million, four hundred ninety-six thousand, eight hundred ninety-six".