198153878929920 has 1920 divisors, whose sum is σ = 742171090510080. Its totient is φ = 50709389672448.

The previous prime is 198153878929901. The next prime is 198153878929967. The reversal of 198153878929920 is 29929878351891.

198153878929920 is a `hidden beast` number, since 1 + 9 + 8 + 1 + 538 + 78 + 9 + 2 + 9 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 198153878929920.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1851905410507 + ... + 1851905410613.

It is an arithmetic number, because the mean of its divisors is an integer number (386547442974).

Almost surely, 2^{198153878929920} is an apocalyptic number.

198153878929920 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 198153878929920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371085545255040).

198153878929920 is an abundant number, since it is smaller than the sum of its proper divisors (544017211580160).

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

198153878929920 is an frugal number, since it uses more digits than its factorization.

198153878929920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 1410877440, while the sum is 81.

The spelling of 198153878929920 in words is "one hundred ninety-eight trillion, one hundred fifty-three billion, eight hundred seventy-eight million, nine hundred twenty-nine thousand, nine hundred twenty".