10198930560 has 768 divisors, whose sum is σ = 42195686400. Its totient is φ = 2074705920.

The previous prime is 10198930559. The next prime is 10198930571. The reversal of 10198930560 is 6503989101.

10198930560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 95 ways as a sum of consecutive naturals, for example, 37914106 + ... + 37914374.

It is an arithmetic number, because the mean of its divisors is an integer number (54942300).

Almost surely, 2^10198930560 is an apocalyptic number.

10198930560 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 10198930560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21097843200).

10198930560 is an abundant number, since it is smaller than the sum of its proper divisors (31996755840).

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

10198930560 is a wasteful number, since it uses less digits than its factorization.

10198930560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 42.

The spelling of 10198930560 in words is "ten billion, one hundred ninety-eight million, nine hundred thirty thousand, five hundred sixty".