12968388290340 has 1920 divisors, whose sum is σ = 52623856631808. Its totient is φ = 2605151600640.

The previous prime is 12968388290317. The next prime is 12968388290423. The reversal of 12968388290340 is 4309288386921.

12968388290340 is a `hidden beast` number, since 12 + 96 + 8 + 38 + 82 + 90 + 340 = 666.

12968388290340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 49309461049 + ... + 49309461311.

Almost surely, 2^{12968388290340} is an apocalyptic number.

12968388290340 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 12968388290340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26311928315904).

12968388290340 is an abundant number, since it is smaller than the sum of its proper divisors (39655468341468).

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

12968388290340 is a wasteful number, since it uses less digits than its factorization.

12968388290340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 599 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 63.

The spelling of 12968388290340 in words is "twelve trillion, nine hundred sixty-eight billion, three hundred eighty-eight million, two hundred ninety thousand, three hundred forty".