10299729960000 has 1680 divisors, whose sum is σ = 42333030643904. Its totient is φ = 2465676288000.

The previous prime is 10299729959993. The next prime is 10299729960011. The reversal of 10299729960000 is 6992799201.

10299729960000 is a `hidden beast` number, since 1 + 0 + 2 + 9 + 9 + 7 + 29 + 9 + 600 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 4675318899 + ... + 4675321101.

Almost surely, 2^{10299729960000} is an apocalyptic number.

10299729960000 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 10299729960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21166515321952).

10299729960000 is an abundant number, since it is smaller than the sum of its proper divisors (32033300683904).

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

10299729960000 is an equidigital number, since it uses as much as digits as its factorization.

10299729960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2300 (or 2263 counting only the distinct ones).

The product of its (nonzero) digits is 1102248, while the sum is 54.

The spelling of 10299729960000 in words is "ten trillion, two hundred ninety-nine billion, seven hundred twenty-nine million, nine hundred sixty thousand".