126600480720 has 360 divisors, whose sum is σ = 497170908936. Its totient is φ = 28785770496.

The previous prime is 126600480719. The next prime is 126600480779. The reversal of 126600480720 is 27084006621.

126600480720 is a `hidden beast` number, since 1 + 2 + 6 + 600 + 48 + 0 + 7 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6421778496 + 120178702224 = 80136^2 + 346668^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6799744 + ... + 6818336.

Almost surely, 2^126600480720 is an apocalyptic number.

126600480720 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 126600480720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248585454468).

126600480720 is an abundant number, since it is smaller than the sum of its proper divisors (370570428216).

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

126600480720 is a wasteful number, since it uses less digits than its factorization.

126600480720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18819 (or 18803 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 126600480720 in words is "one hundred twenty-six billion, six hundred million, four hundred eighty thousand, seven hundred twenty".