10189997030268 has 432 divisors, whose sum is σ = 29900825136000. Its totient is φ = 2901367123200.

The previous prime is 10189997030237. The next prime is 10189997030281. The reversal of 10189997030268 is 86203079998101.

10189997030268 is a `hidden beast` number, since 1 + 0 + 189 + 9 + 97 + 0 + 302 + 68 = 666.

10189997030268 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 15051693946 + ... + 15051694622.

It is an arithmetic number, because the mean of its divisors is an integer number (69214873000).

Almost surely, 2^{10189997030268} is an apocalyptic number.

10189997030268 is a gapful number since it is divisible by the number (18) 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 10189997030268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14950412568000).

10189997030268 is an abundant number, since it is smaller than the sum of its proper divisors (19710828105732).

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

10189997030268 is a wasteful number, since it uses less digits than its factorization.

10189997030268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1446 (or 1422 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 63.

The spelling of 10189997030268 in words is "ten trillion, one hundred eighty-nine billion, nine hundred ninety-seven million, thirty thousand, two hundred sixty-eight".