10126189929216 has 144 divisors (see below), whose sum is σ = 27729399858048. Its totient is φ = 3278560665600.

The previous prime is 10126189929169. The next prime is 10126189929223. The reversal of 10126189929216 is 61292998162101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6439431 + ... + 7856121.

It is an arithmetic number, because the mean of its divisors is an integer number (192565276792).

Almost surely, 2^{10126189929216} is an apocalyptic number.

10126189929216 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 10126189929216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13864699929024).

10126189929216 is an abundant number, since it is smaller than the sum of its proper divisors (17603209928832).

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

10126189929216 is a wasteful number, since it uses less digits than its factorization.

10126189929216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1416978 (or 1416964 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 57.

The spelling of 10126189929216 in words is "ten trillion, one hundred twenty-six billion, one hundred eighty-nine million, nine hundred twenty-nine thousand, two hundred sixteen".