12752811833490 has 192 divisors, whose sum is σ = 35708830560000. Its totient is φ = 3145923919872.

The previous prime is 12752811833477. The next prime is 12752811833519. The reversal of 12752811833490 is 9433811825721.

12752811833490 is a `hidden beast` number, since 1 + 2 + 7 + 5 + 2 + 8 + 118 + 33 + 490 = 666.

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 95 ways as a sum of consecutive naturals, for example, 962542386 + ... + 962555634.

It is an arithmetic number, because the mean of its divisors is an integer number (185983492500).

Almost surely, 2^{12752811833490} is an apocalyptic number.

12752811833490 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12752811833490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17854415280000).

12752811833490 is an abundant number, since it is smaller than the sum of its proper divisors (22956018726510).

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

12752811833490 is a wasteful number, since it uses less digits than its factorization.

12752811833490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24001 (or 23998 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

It can be divided in two parts, 1275281 and 1833490, that added together give a triangular number (3108771 = T₂₄₉₃).

The spelling of 12752811833490 in words is "twelve trillion, seven hundred fifty-two billion, eight hundred eleven million, eight hundred thirty-three thousand, four hundred ninety".