126291893944320 has 2592 divisors, whose sum is σ = 504817658601984. Its totient is φ = 29149573939200.

The previous prime is 126291893944309. The next prime is 126291893944399. The reversal of 126291893944320 is 23449398192621.

126291893944320 is a `hidden beast` number, since 1 + 2 + 6 + 2 + 9 + 189 + 3 + 9 + 443 + 2 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1884953640927 + ... + 1884953640993.

It is an arithmetic number, because the mean of its divisors is an integer number (194759899152).

Almost surely, 2^{126291893944320} is an apocalyptic number.

126291893944320 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 126291893944320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252408829300992).

126291893944320 is an abundant number, since it is smaller than the sum of its proper divisors (378525764657664).

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

126291893944320 is an equidigital number, since it uses as much as digits as its factorization.

126291893944320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 40310784, while the sum is 63.

The spelling of 126291893944320 in words is "one hundred twenty-six trillion, two hundred ninety-one billion, eight hundred ninety-three million, nine hundred forty-four thousand, three hundred twenty".