10299960000 has 1050 divisors, whose sum is σ = 44213993868. Its totient is φ = 2350080000.

The previous prime is 10299959977. The next prime is 10299960061. The reversal of 10299960000 is 6999201.

10299960000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 149 ways as a sum of consecutive naturals, for example, 605879992 + ... + 605880008.

Almost surely, 2^10299960000 is an apocalyptic number.

10299960000 is a gapful number since it is divisible by the number (10) 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 10299960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22106996934).

10299960000 is an abundant number, since it is smaller than the sum of its proper divisors (33914033868).

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

10299960000 is an equidigital number, since it uses as much as digits as its factorization.

10299960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

It can be divided in two parts, 10299 and 960000, that added together give a cube (970299 = 99³).

The spelling of 10299960000 in words is "ten billion, two hundred ninety-nine million, nine hundred sixty thousand".