12435192960960 has 1344 divisors, whose sum is σ = 54798991865856. Its totient is φ = 2326143959040.

The previous prime is 12435192960889. The next prime is 12435192960979. The reversal of 12435192960960 is 6906929153421.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a self number, because there is not a number n which added to its sum of digits gives 12435192960960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 317910364 + ... + 317949476.

It is an arithmetic number, because the mean of its divisors is an integer number (40773059424).

Almost surely, 2^{12435192960960} is an apocalyptic number.

12435192960960 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 12435192960960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27399495932928).

12435192960960 is an abundant number, since it is smaller than the sum of its proper divisors (42363798904896).

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

12435192960960 is a wasteful number, since it uses less digits than its factorization.

12435192960960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39202 (or 39181 counting only the distinct ones).

The product of its (nonzero) digits is 6298560, while the sum is 57.

The spelling of 12435192960960 in words is "twelve trillion, four hundred thirty-five billion, one hundred ninety-two million, nine hundred sixty thousand, nine hundred sixty".