11679853056400 has 135 divisors (see below), whose sum is σ = 28343296647939. Its totient is φ = 4625380112640.

The previous prime is 11679853056383. The next prime is 11679853056419. The reversal of 11679853056400 is 465035897611.

The square root of 11679853056400 is 3417580.

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 2330739608976 + 9349113447424 = 1526676^2 + 3057632^2 .

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, 7313620402 + ... + 7313621998.

Almost surely, 2^{11679853056400} is an apocalyptic number.

11679853056400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11679853056400 is the 3417580-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11679853056400

11679853056400 is an abundant number, since it is smaller than the sum of its proper divisors (16663443591539).

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

11679853056400 is an frugal number, since it uses more digits than its factorization.

11679853056400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3426 (or 1711 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 55.

The spelling of 11679853056400 in words is "eleven trillion, six hundred seventy-nine billion, eight hundred fifty-three million, fifty-six thousand, four hundred".