198956593520 has 20 divisors (see below), whose sum is σ = 462574080120. Its totient is φ = 79582637376.

The previous prime is 198956593477. The next prime is 198956593573. The reversal of 198956593520 is 25395659891.

198956593520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×198956593520² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (62) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1243478630 + ... + 1243478789.

It is an arithmetic number, because the mean of its divisors is an integer number (23128704006).

Almost surely, 2^198956593520 is an apocalyptic number.

198956593520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

198956593520 is an abundant number, since it is smaller than the sum of its proper divisors (263617486600).

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

198956593520 is a wasteful number, since it uses less digits than its factorization.

198956593520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2486957432 (or 2486957426 counting only the distinct ones).

The product of its (nonzero) digits is 26244000, while the sum is 62.

The spelling of 198956593520 in words is "one hundred ninety-eight billion, nine hundred fifty-six million, five hundred ninety-three thousand, five hundred twenty".