13482766735200 has 2592 divisors, whose sum is σ = 61030781779968. Its totient is φ = 2779951104000.

The previous prime is 13482766735181. The next prime is 13482766735213. The reversal of 13482766735200 is 253766728431.

It is a happy number.

13482766735200 is a `hidden beast` number, since 1 + 3 + 48 + 2 + 7 + 6 + 6 + 73 + 520 + 0 = 666.

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 431 ways as a sum of consecutive naturals, for example, 23612550915 + ... + 23612551485.

It is an arithmetic number, because the mean of its divisors is an integer number (23545826304).

Almost surely, 2^{13482766735200} is an apocalyptic number.

13482766735200 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 13482766735200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30515390889984).

13482766735200 is an abundant number, since it is smaller than the sum of its proper divisors (47548015044768).

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

13482766735200 is a wasteful number, since it uses less digits than its factorization.

13482766735200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 13482766735200 in words is "thirteen trillion, four hundred eighty-two billion, seven hundred sixty-six million, seven hundred thirty-five thousand, two hundred".