10198650912768 has 340 divisors, whose sum is σ = 32073802454760. Its totient is φ = 3220594753536.

The previous prime is 10198650912761. The next prime is 10198650912781. The reversal of 10198650912768 is 86721905689101.

10198650912768 is a `hidden beast` number, since 10 + 1 + 98 + 6 + 509 + 1 + 27 + 6 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10198650912761) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 100809346 + ... + 100910462.

Almost surely, 2^{10198650912768} is an apocalyptic number.

10198650912768 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 10198650912768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16036901227380).

10198650912768 is an abundant number, since it is smaller than the sum of its proper divisors (21875151541992).

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

10198650912768 is an frugal number, since it uses more digits than its factorization.

10198650912768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101180 (or 101141 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 63.

The spelling of 10198650912768 in words is "ten trillion, one hundred ninety-eight billion, six hundred fifty million, nine hundred twelve thousand, seven hundred sixty-eight".