10198240000 has 180 divisors, whose sum is σ = 27399991696. Its totient is φ = 3764736000.

The previous prime is 10198239977. The next prime is 10198240049. The reversal of 10198240000 is 4289101.

It is a happy number.

10198240000 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 (25).

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 19 ways as a sum of consecutive naturals, for example, 2077549 + ... + 2082451.

Almost surely, 2^10198240000 is an apocalyptic number.

10198240000 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 10198240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13699995848).

10198240000 is an abundant number, since it is smaller than the sum of its proper divisors (17201751696).

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

10198240000 is an frugal number, since it uses more digits than its factorization.

10198240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4952 (or 4923 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 25.

The spelling of 10198240000 in words is "ten billion, one hundred ninety-eight million, two hundred forty thousand".