13429120896 has 384 divisors, whose sum is σ = 43005362400. Its totient is φ = 4156489728.

The previous prime is 13429120877. The next prime is 13429120907. The reversal of 13429120896 is 69802192431.

13429120896 is a `hidden beast` number, since 13 + 429 + 1 + 208 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×13429120896³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57635596 + ... + 57635828.

Almost surely, 2^13429120896 is an apocalyptic number.

13429120896 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 13429120896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21502681200).

13429120896 is an abundant number, since it is smaller than the sum of its proper divisors (29576241504).

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

13429120896 is a wasteful number, since it uses less digits than its factorization.

13429120896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 13429120896 in words is "thirteen billion, four hundred twenty-nine million, one hundred twenty thousand, eight hundred ninety-six".