13004582400 has 720 divisors, whose sum is σ = 50006580624. Its totient is φ = 3344302080.

The previous prime is 13004582377. The next prime is 13004582401. The reversal of 13004582400 is 428540031.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13004582401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 115084744 + ... + 115084856.

Almost surely, 2^13004582400 is an apocalyptic number.

13004582400 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 13004582400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25003290312).

13004582400 is an abundant number, since it is smaller than the sum of its proper divisors (37001998224).

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

13004582400 is an equidigital number, since it uses as much as digits as its factorization.

13004582400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 13004582400 in words is "thirteen billion, four million, five hundred eighty-two thousand, four hundred".