13058683142400 has 1701 divisors, whose sum is σ = 56610152597901. Its totient is φ = 2972352983040.

The previous prime is 13058683142389. The next prime is 13058683142411. The reversal of 13058683142400 is 424138685031.

The square root of 13058683142400 is 3613680.

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

13058683142400 is a `hidden beast` number, since 1 + 30 + 5 + 8 + 68 + 314 + 240 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13058683142389) and next prime (13058683142411).

It can be written as a sum of positive squares in only one way, i.e., 4701125931264 + 8357557211136 = 2168208^2 + 2890944^2 .

It is a tau number, because it is divible by the number of its divisors (1701).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 54638841481 + ... + 54638841719.

Almost surely, 2^{13058683142400} is an apocalyptic number.

13058683142400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13058683142400 is the 3613680-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13058683142400

13058683142400 is an abundant number, since it is smaller than the sum of its proper divisors (43551469455501).

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

13058683142400 is an frugal number, since it uses more digits than its factorization.

13058683142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 13058683142400 in words is "thirteen trillion, fifty-eight billion, six hundred eighty-three million, one hundred forty-two thousand, four hundred".