126233679116160 has 1536 divisors, whose sum is σ = 546193020672000. Its totient is φ = 26098898042880.

The previous prime is 126233679116101. The next prime is 126233679116189. The reversal of 126233679116160 is 61611976332621.

126233679116160 is a `hidden beast` number, since 1 + 2 + 6 + 2 + 3 + 3 + 6 + 7 + 9 + 11 + 616 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 126233679116097 and 126233679116106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 103216417309 + ... + 103216418531.

It is an arithmetic number, because the mean of its divisors is an integer number (355594414500).

Almost surely, 2^{126233679116160} is an apocalyptic number.

126233679116160 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 126233679116160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273096510336000).

126233679116160 is an abundant number, since it is smaller than the sum of its proper divisors (419959341555840).

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

126233679116160 is a wasteful number, since it uses less digits than its factorization.

126233679116160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2244 (or 2229 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 126233679116160 in words is "one hundred twenty-six trillion, two hundred thirty-three billion, six hundred seventy-nine million, one hundred sixteen thousand, one hundred sixty".