13521677068800 has 720 divisors, whose sum is σ = 50644245331680. Its totient is φ = 3572610416640.

The previous prime is 13521677068777. The next prime is 13521677068813. The reversal of 13521677068800 is 886077612531.

It is a happy number.

13521677068800 is a `hidden beast` number, since 1 + 352 + 167 + 70 + 68 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 339013659 + ... + 339053541.

Almost surely, 2^{13521677068800} is an apocalyptic number.

13521677068800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13521677068800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25322122665840).

13521677068800 is an abundant number, since it is smaller than the sum of its proper divisors (37122568262880).

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

13521677068800 is an equidigital number, since it uses as much as digits as its factorization.

13521677068800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40035 (or 40002 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 13521677068800 in words is "thirteen trillion, five hundred twenty-one billion, six hundred seventy-seven million, sixty-eight thousand, eight hundred".