13332446887320 has 1280 divisors, whose sum is σ = 51112556858880. Its totient is φ = 3088602316800.

The previous prime is 13332446887247. The next prime is 13332446887349. The reversal of 13332446887320 is 2378864423331.

13332446887320 is a `hidden beast` number, since 1 + 3 + 3 + 32 + 446 + 88 + 73 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 19520419699 + ... + 19520420381.

It is an arithmetic number, because the mean of its divisors is an integer number (39931685046).

Almost surely, 2^{13332446887320} is an apocalyptic number.

13332446887320 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 13332446887320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25556278429440).

13332446887320 is an abundant number, since it is smaller than the sum of its proper divisors (37780109971560).

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

13332446887320 is a wasteful number, since it uses less digits than its factorization.

13332446887320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998 (or 985 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 54.

The spelling of 13332446887320 in words is "thirteen trillion, three hundred thirty-two billion, four hundred forty-six million, eight hundred eighty-seven thousand, three hundred twenty".