126092377162752 has 792 divisors, whose sum is σ = 461825746018272. Its totient is φ = 30231871488000.

The previous prime is 126092377162751. The next prime is 126092377162819. The reversal of 126092377162752 is 257261773290621.

126092377162752 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (126092377162751) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 279606252 + ... + 280056852.

Almost surely, 2^{126092377162752} is an apocalyptic number.

126092377162752 is a gapful number since it is divisible by the number (12) 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 126092377162752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230912873009136).

126092377162752 is an abundant number, since it is smaller than the sum of its proper divisors (335733368855520).

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

126092377162752 is a wasteful number, since it uses less digits than its factorization.

126092377162752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450675 (or 450637 counting only the distinct ones).

The product of its (nonzero) digits is 26671680, while the sum is 60.

The spelling of 126092377162752 in words is "one hundred twenty-six trillion, ninety-two billion, three hundred seventy-seven million, one hundred sixty-two thousand, seven hundred fifty-two".