13129596480 has 672 divisors, whose sum is σ = 56331721728. Its totient is φ = 2515968000.

The previous prime is 13129596457. The next prime is 13129596511. The reversal of 13129596480 is 8469592131.

It is a tau number, because it is divible by the number of its divisors (672).

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, 12491955 + ... + 12493005.

Almost surely, 2^13129596480 is an apocalyptic number.

13129596480 is a gapful number since it is divisible by the number (10) 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 13129596480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28165860864).

13129596480 is an abundant number, since it is smaller than the sum of its proper divisors (43202125248).

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

13129596480 is a wasteful number, since it uses less digits than its factorization.

13129596480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1115 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 48.

The spelling of 13129596480 in words is "thirteen billion, one hundred twenty-nine million, five hundred ninety-six thousand, four hundred eighty".