13802413825600 has 189 divisors, whose sum is σ = 34272138396531. Its totient is φ = 5471093222400.

The previous prime is 13802413825583. The next prime is 13802413825619. The reversal of 13802413825600 is 652831420831.

The square root of 13802413825600 is 3715160.

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

It can be written as a sum of positive squares in 4 ways, for example, as 3811959475776 + 9990454349824 = 1952424^2 + 3160768^2 .

It is a super-2 number, since 2×13802413825600² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 19467438046 + ... + 19467438754.

Almost surely, 2^{13802413825600} is an apocalyptic number.

13802413825600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13802413825600 is the 3715160-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13802413825600

13802413825600 is an abundant number, since it is smaller than the sum of its proper divisors (20469724570931).

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

13802413825600 is an frugal number, since it uses more digits than its factorization.

13802413825600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1702 (or 847 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 43.

The spelling of 13802413825600 in words is "thirteen trillion, eight hundred two billion, four hundred thirteen million, eight hundred twenty-five thousand, six hundred".