199752482880 has 672 divisors, whose sum is σ = 749064775680. Its totient is φ = 48709140480.

The previous prime is 199752482843. The next prime is 199752482921. The reversal of 199752482880 is 88284257991.

199752482880 is a `hidden beast` number, since 1 + 9 + 9 + 7 + 524 + 8 + 28 + 80 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 182755614 + ... + 182756706.

Almost surely, 2^199752482880 is an apocalyptic number.

199752482880 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 199752482880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374532387840).

199752482880 is an abundant number, since it is smaller than the sum of its proper divisors (549312292800).

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

199752482880 is a wasteful number, since it uses less digits than its factorization.

199752482880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1259 (or 1246 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 63.

The spelling of 199752482880 in words is "one hundred ninety-nine billion, seven hundred fifty-two million, four hundred eighty-two thousand, eight hundred eighty".