20198150269920 has 288 divisors, whose sum is σ = 78980644753920. Its totient is φ = 4604537871360.

The previous prime is 20198150269853. The next prime is 20198150269943. The reversal of 20198150269920 is 2996205189102.

20198150269920 is a `hidden beast` number, since 20 + 1 + 9 + 8 + 1 + 502 + 6 + 99 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1176805 + ... + 6463835.

It is an arithmetic number, because the mean of its divisors is an integer number (274238349840).

Almost surely, 2^{20198150269920} is an apocalyptic number.

20198150269920 is a gapful number since it is divisible by the number (20) 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 20198150269920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39490322376960).

20198150269920 is an abundant number, since it is smaller than the sum of its proper divisors (58782494484000).

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

20198150269920 is a wasteful number, since it uses less digits than its factorization.

20198150269920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5287438 (or 5287427 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The spelling of 20198150269920 in words is "twenty trillion, one hundred ninety-eight billion, one hundred fifty million, two hundred sixty-nine thousand, nine hundred twenty".