198215078400 has 480 divisors, whose sum is σ = 739953086400. Its totient is φ = 51956121600.

The previous prime is 198215078389. The next prime is 198215078419. The reversal of 198215078400 is 4870512891.

198215078400 is a `hidden beast` number, since 1 + 98 + 2 + 150 + 7 + 8 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

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, 20385540 + ... + 20395260.

It is an arithmetic number, because the mean of its divisors is an integer number (1541568930).

Almost surely, 2^198215078400 is an apocalyptic number.

198215078400 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 198215078400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369976543200).

198215078400 is an abundant number, since it is smaller than the sum of its proper divisors (541738008000).

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

198215078400 is an equidigital number, since it uses as much as digits as its factorization.

198215078400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9817 (or 9790 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 198215078400 in words is "one hundred ninety-eight billion, two hundred fifteen million, seventy-eight thousand, four hundred".