199985570400 has 576 divisors, whose sum is σ = 846881796096. Its totient is φ = 39747840000.

The previous prime is 199985570363. The next prime is 199985570413. The reversal of 199985570400 is 4075589991.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4226875 + ... + 4273925.

It is an arithmetic number, because the mean of its divisors is an integer number (1470280896).

Almost surely, 2^199985570400 is an apocalyptic number.

199985570400 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 199985570400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423440898048).

199985570400 is an abundant number, since it is smaller than the sum of its proper divisors (646896225696).

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

199985570400 is a wasteful number, since it uses less digits than its factorization.

199985570400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47115 (or 47102 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 57.

The spelling of 199985570400 in words is "one hundred ninety-nine billion, nine hundred eighty-five million, five hundred seventy thousand, four hundred".