198625812000 has 1536 divisors, whose sum is σ = 855932313600. Its totient is φ = 39889920000.

The previous prime is 198625811983. The next prime is 198625812031. The reversal of 198625812000 is 218526891.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1856315947 + ... + 1856316053.

It is an arithmetic number, because the mean of its divisors is an integer number (557247600).

Almost surely, 2^198625812000 is an apocalyptic number.

198625812000 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 198625812000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427966156800).

198625812000 is an abundant number, since it is smaller than the sum of its proper divisors (657306501600).

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

198625812000 is a wasteful number, since it uses less digits than its factorization.

198625812000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 42.

The spelling of 198625812000 in words is "one hundred ninety-eight billion, six hundred twenty-five million, eight hundred twelve thousand".