198382032576000 has 6400 divisors, whose sum is σ = 997367599388160. Its totient is φ = 37991271628800.

The previous prime is 198382032575917. The next prime is 198382032576047. The reversal of 198382032576000 is 675230283891.

198382032576000 is a `hidden beast` number, since 1 + 9 + 8 + 3 + 8 + 2 + 0 + 3 + 25 + 7 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6400).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 232569791574 + ... + 232569792426.

Almost surely, 2^{198382032576000} is an apocalyptic number.

198382032576000 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 198382032576000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498683799694080).

198382032576000 is an abundant number, since it is smaller than the sum of its proper divisors (798985566812160).

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

198382032576000 is a wasteful number, since it uses less digits than its factorization.

198382032576000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 964 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 198382032576000 in words is "one hundred ninety-eight trillion, three hundred eighty-two billion, thirty-two million, five hundred seventy-six thousand".