12840716097300 has 1152 divisors, whose sum is σ = 49523230310400. Its totient is φ = 2495453184000.

The previous prime is 12840716097263. The next prime is 12840716097317. The reversal of 12840716097300 is 379061704821.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 12840716097300.

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, 1742528016 + ... + 1742535384.

It is an arithmetic number, because the mean of its divisors is an integer number (42988915200).

Almost surely, 2^{12840716097300} is an apocalyptic number.

12840716097300 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 12840716097300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24761615155200).

12840716097300 is an abundant number, since it is smaller than the sum of its proper divisors (36682514213100).

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

12840716097300 is a wasteful number, since it uses less digits than its factorization.

12840716097300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7537 (or 7530 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The spelling of 12840716097300 in words is "twelve trillion, eight hundred forty billion, seven hundred sixteen million, ninety-seven thousand, three hundred".