13299864950736 has 1920 divisors, whose sum is σ = 52230085632000. Its totient is φ = 3159612997632.

The previous prime is 13299864950719. The next prime is 13299864950833. The reversal of 13299864950736 is 63705946899231.

13299864950736 is a `hidden beast` number, since 1 + 3 + 2 + 9 + 9 + 86 + 4 + 9 + 507 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent 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 383 ways as a sum of consecutive naturals, for example, 20556205165 + ... + 20556205811.

It is an arithmetic number, because the mean of its divisors is an integer number (27203169600).

It is a 1-persistent number, because it is pandigital, but 2⋅13299864950736 = 26599729901472 is not.

Almost surely, 2^{13299864950736} is an apocalyptic number.

13299864950736 is a gapful number since it is divisible by the number (16) 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 13299864950736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26115042816000).

13299864950736 is an abundant number, since it is smaller than the sum of its proper divisors (38930220681264).

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

13299864950736 is a wasteful number, since it uses less digits than its factorization.

13299864950736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818 (or 793 counting only the distinct ones).

The product of its (nonzero) digits is 529079040, while the sum is 72.

The spelling of 13299864950736 in words is "thirteen trillion, two hundred ninety-nine billion, eight hundred sixty-four million, nine hundred fifty thousand, seven hundred thirty-six".