126393246720 has 704 divisors, whose sum is σ = 493229399040. Its totient is φ = 30502158336.

The previous prime is 126393246697. The next prime is 126393246737. The reversal of 126393246720 is 27642393621.

126393246720 is a `hidden beast` number, since 1 + 2 + 639 + 3 + 2 + 4 + 6 + 7 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 95246697 + ... + 95248023.

Almost surely, 2^126393246720 is an apocalyptic number.

126393246720 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 126393246720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246614699520).

126393246720 is an abundant number, since it is smaller than the sum of its proper divisors (366836152320).

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

126393246720 is a wasteful number, since it uses less digits than its factorization.

126393246720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1427 (or 1403 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 126393246720 in words is "one hundred twenty-six billion, three hundred ninety-three million, two hundred forty-six thousand, seven hundred twenty".