10198809600 has 528 divisors, whose sum is σ = 39280390656. Its totient is φ = 2285568000.

The previous prime is 10198809587. The next prime is 10198809631. The reversal of 10198809600 is 690889101.

10198809600 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 (42).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 32793445 + ... + 32793755.

Almost surely, 2^10198809600 is an apocalyptic number.

10198809600 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 10198809600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19640195328).

10198809600 is an abundant number, since it is smaller than the sum of its proper divisors (29081581056).

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

10198809600 is a wasteful number, since it uses less digits than its factorization.

10198809600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 42.

The spelling of 10198809600 in words is "ten billion, one hundred ninety-eight million, eight hundred nine thousand, six hundred".