10305199872 has 216 divisors, whose sum is σ = 32830237440. Its totient is φ = 3082659840.

The previous prime is 10305199843. The next prime is 10305199913. The reversal of 10305199872 is 27899150301.

10305199872 is a `hidden beast` number, since 10 + 30 + 519 + 98 + 7 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1999603 + ... + 2004749.

It is an arithmetic number, because the mean of its divisors is an integer number (151991840).

Almost surely, 2^10305199872 is an apocalyptic number.

10305199872 is a gapful number since it is divisible by the number (12) 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 10305199872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16415118720).

10305199872 is an abundant number, since it is smaller than the sum of its proper divisors (22525037568).

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

10305199872 is a wasteful number, since it uses less digits than its factorization.

10305199872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5259 (or 5242 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The spelling of 10305199872 in words is "ten billion, three hundred five million, one hundred ninety-nine thousand, eight hundred seventy-two".