10036910112768 has 600 divisors, whose sum is σ = 37385402222784. Its totient is φ = 2606963097600.

The previous prime is 10036910112767. The next prime is 10036910112799. The reversal of 10036910112768 is 86721101963001.

10036910112768 is a `hidden beast` number, since 1 + 0 + 0 + 369 + 1 + 0 + 11 + 276 + 8 = 666.

It is a super-3 number, since 3×10036910112768³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (10036910112767) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 102137898 + ... + 102236118.

Almost surely, 2^{10036910112768} is an apocalyptic number.

10036910112768 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 10036910112768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18692701111392).

10036910112768 is an abundant number, since it is smaller than the sum of its proper divisors (27348492110016).

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

10036910112768 is an frugal number, since it uses more digits than its factorization.

10036910112768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98279 (or 98244 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 10036910112768 in words is "ten trillion, thirty-six billion, nine hundred ten million, one hundred twelve thousand, seven hundred sixty-eight".