198264124800 has 576 divisors, whose sum is σ = 827355260160. Its totient is φ = 44261683200.

The previous prime is 198264124781. The next prime is 198264124819. The reversal of 198264124800 is 8421462891.

198264124800 is a `hidden beast` number, since 198 + 2 + 6 + 412 + 48 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (198264124781) and next prime (198264124819).

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8657365 + ... + 8680235.

It is an arithmetic number, because the mean of its divisors is an integer number (1436380660).

Almost surely, 2^198264124800 is an apocalyptic number.

198264124800 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 198264124800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413677630080).

198264124800 is an abundant number, since it is smaller than the sum of its proper divisors (629091135360).

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

198264124800 is a wasteful number, since it uses less digits than its factorization.

198264124800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22951 (or 22931 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 198264124800 in words is "one hundred ninety-eight billion, two hundred sixty-four million, one hundred twenty-four thousand, eight hundred".