10198043220960 has 2880 divisors, whose sum is σ = 45746875367424. Its totient is φ = 2126767104000.

The previous prime is 10198043220947. The next prime is 10198043220979. The reversal of 10198043220960 is 6902234089101.

10198043220960 is a `hidden beast` number, since 1 + 0 + 1 + 9 + 8 + 0 + 432 + 209 + 6 + 0 = 666.

It is a super-2 number, since 2×10198043220960² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 45731135409 + ... + 45731135631.

Almost surely, 2^{10198043220960} is an apocalyptic number.

10198043220960 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 10198043220960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22873437683712).

10198043220960 is an abundant number, since it is smaller than the sum of its proper divisors (35548832146464).

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

10198043220960 is a wasteful number, since it uses less digits than its factorization.

10198043220960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 10198043220960 in words is "ten trillion, one hundred ninety-eight billion, forty-three million, two hundred twenty thousand, nine hundred sixty".