10115276688 has 360 divisors, whose sum is σ = 32752848128. Its totient is φ = 2908224000.

The previous prime is 10115276663. The next prime is 10115276701. The reversal of 10115276688 is 88667251101.

It is an unprimeable number.

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, 32948631 + ... + 32948937.

Almost surely, 2^10115276688 is an apocalyptic number.

10115276688 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 10115276688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16376424064).

10115276688 is an abundant number, since it is smaller than the sum of its proper divisors (22637571440).

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

10115276688 is a wasteful number, since it uses less digits than its factorization.

10115276688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 10115276688 in words is "ten billion, one hundred fifteen million, two hundred seventy-six thousand, six hundred eighty-eight".