126602979751296 has 768 divisors, whose sum is σ = 396250807680000. Its totient is φ = 40183508090880.

The previous prime is 126602979751273. The next prime is 126602979751331. The reversal of 126602979751296 is 692157979206621.

126602979751296 is a `hidden beast` number, since 1 + 2 + 6 + 602 + 9 + 7 + 9 + 7 + 5 + 1 + 2 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34600429915 + ... + 34600433573.

It is an arithmetic number, because the mean of its divisors is an integer number (515951572500).

Almost surely, 2^{126602979751296} is an apocalyptic number.

126602979751296 is a gapful number since it is divisible by the number (16) 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 126602979751296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198125403840000).

126602979751296 is an abundant number, since it is smaller than the sum of its proper divisors (269647827928704).

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

126602979751296 is an equidigital number, since it uses as much as digits as its factorization.

126602979751296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4237 (or 4213 counting only the distinct ones).

The product of its (nonzero) digits is 308629440, while the sum is 72.

The spelling of 126602979751296 in words is "one hundred twenty-six trillion, six hundred two billion, nine hundred seventy-nine million, seven hundred fifty-one thousand, two hundred ninety-six".