13168265850432 has 672 divisors, whose sum is σ = 48902931302400. Its totient is φ = 3401153141760.

The previous prime is 13168265850391. The next prime is 13168265850449. The reversal of 13168265850432 is 23405856286131.

13168265850432 is a `hidden beast` number, since 1 + 3 + 1 + 6 + 8 + 26 + 585 + 0 + 4 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 261962133 + ... + 262012395.

It is an arithmetic number, because the mean of its divisors is an integer number (72772219200).

Almost surely, 2^{13168265850432} is an apocalyptic number.

13168265850432 is a gapful number since it is divisible by the number (12) 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 13168265850432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24451465651200).

13168265850432 is an abundant number, since it is smaller than the sum of its proper divisors (35734665451968).

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

13168265850432 is a wasteful number, since it uses less digits than its factorization.

13168265850432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50492 (or 50465 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 13168265850432 in words is "thirteen trillion, one hundred sixty-eight billion, two hundred sixty-five million, eight hundred fifty thousand, four hundred thirty-two".