198013562409600 has 2880 divisors, whose sum is σ = 864912499244640. Its totient is φ = 44657092730880.

The previous prime is 198013562409589. The next prime is 198013562409613. The reversal of 198013562409600 is 6904265310891.

198013562409600 is a `hidden beast` number, since 1 + 9 + 8 + 0 + 1 + 3 + 5 + 6 + 24 + 0 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 256162434814 + ... + 256162435586.

Almost surely, 2^{198013562409600} is an apocalyptic number.

198013562409600 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 198013562409600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432456249622320).

198013562409600 is an abundant number, since it is smaller than the sum of its proper divisors (666898936835040).

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

198013562409600 is an frugal number, since it uses more digits than its factorization.

198013562409600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 921 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 198013562409600 in words is "one hundred ninety-eight trillion, thirteen billion, five hundred sixty-two million, four hundred nine thousand, six hundred".