13289478400 has 243 divisors, whose sum is σ = 36433808929. Its totient is φ = 4795648000.

The previous prime is 13289478359. The next prime is 13289478409. The reversal of 13289478400 is 487498231.

The square root of 13289478400 is 115280.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4784212224 + 8505266176 = 69168^2 + 92224^2 .

It is a super-2 number, since 2×13289478400² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13289478409) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 101446335 + ... + 101446465.

Almost surely, 2^13289478400 is an apocalyptic number.

13289478400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13289478400 is the 115280-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13289478400

13289478400 is an abundant number, since it is smaller than the sum of its proper divisors (23144330529).

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

13289478400 is an equidigital number, since it uses as much as digits as its factorization.

13289478400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 46.

The spelling of 13289478400 in words is "thirteen billion, two hundred eighty-nine million, four hundred seventy-eight thousand, four hundred".