13032264000 has 224 divisors, whose sum is σ = 49180674816. Its totient is φ = 2978764800.

The previous prime is 13032263983. The next prime is 13032264019. The reversal of 13032264000 is 46223031.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 129214 + ... + 206786.

It is an arithmetic number, because the mean of its divisors is an integer number (219556584).

Almost surely, 2^13032264000 is an apocalyptic number.

13032264000 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 13032264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24590337408).

13032264000 is an abundant number, since it is smaller than the sum of its proper divisors (36148410816).

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

13032264000 is an equidigital number, since it uses as much as digits as its factorization.

13032264000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77610 (or 77590 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 13032264000 its reverse (46223031), we get a palindrome (13078487031).

The spelling of 13032264000 in words is "thirteen billion, thirty-two million, two hundred sixty-four thousand".