13215264400 has 120 divisors (see below), whose sum is σ = 34462905344. Its totient is φ = 4840819200.

The previous prime is 13215264397. The next prime is 13215264401. The reversal of 13215264400 is 446251231.

It is not an unprimeable number, because it can be changed into a prime (13215264401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 650395 + ... + 670405.

Almost surely, 2^13215264400 is an apocalyptic number.

13215264400 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 13215264400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17231452672).

13215264400 is an abundant number, since it is smaller than the sum of its proper divisors (21247640944).

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

13215264400 is a wasteful number, since it uses less digits than its factorization.

13215264400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20169 (or 20158 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The spelling of 13215264400 in words is "thirteen billion, two hundred fifteen million, two hundred sixty-four thousand, four hundred".