10128499200 has 300 divisors, whose sum is σ = 37490157210. Its totient is φ = 2700656640.

The previous prime is 10128499193. The next prime is 10128499267. The reversal of 10128499200 is 299482101.

It can be written as a sum of positive squares in 3 ways, for example, as 6760786176 + 3367713024 = 82224^2 + 58032^2 .

It is a tau number, because it is divible by the number of its divisors (300).

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 (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1031916 + ... + 1041684.

Almost surely, 2^10128499200 is an apocalyptic number.

10128499200 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 10128499200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18745078605).

10128499200 is an abundant number, since it is smaller than the sum of its proper divisors (27361658010).

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

10128499200 is an frugal number, since it uses more digits than its factorization.

10128499200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9809 (or 9779 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 10128499200 in words is "ten billion, one hundred twenty-eight million, four hundred ninety-nine thousand, two hundred".