13258483088400 has 945 divisors, whose sum is σ = 52580557934247. Its totient is φ = 3208934361600.

The previous prime is 13258483088371. The next prime is 13258483088447. The reversal of 13258483088400 is 488038485231.

The square root of 13258483088400 is 3641220.

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

13258483088400 is a `hidden beast` number, since 1 + 3 + 2 + 5 + 84 + 83 + 0 + 88 + 400 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7747783178256 + 5510699910144 = 2783484^2 + 2347488^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 21628846494 + ... + 21628847106.

Almost surely, 2^{13258483088400} is an apocalyptic number.

13258483088400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13258483088400 is the 3641220-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13258483088400

13258483088400 is an abundant number, since it is smaller than the sum of its proper divisors (39322074845847).

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

13258483088400 is an frugal number, since it uses more digits than its factorization.

13258483088400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1284 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 13258483088400 in words is "thirteen trillion, two hundred fifty-eight billion, four hundred eighty-three million, eighty-eight thousand, four hundred".