199882910072160 has 576 divisors, whose sum is σ = 801721704655872. Its totient is φ = 44398479863808.

The previous prime is 199882910072101. The next prime is 199882910072177. The reversal of 199882910072160 is 61270019288991.

199882910072160 is a `hidden beast` number, since 199 + 88 + 291 + 0 + 0 + 7 + 21 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 84217237 + ... + 86558123.

It is an arithmetic number, because the mean of its divisors is an integer number (1391877959472).

Almost surely, 2^{199882910072160} is an apocalyptic number.

199882910072160 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 199882910072160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400860852327936).

199882910072160 is an abundant number, since it is smaller than the sum of its proper divisors (601838794583712).

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

199882910072160 is a wasteful number, since it uses less digits than its factorization.

199882910072160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2341155 (or 2341144 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 63.

The spelling of 199882910072160 in words is "one hundred ninety-nine trillion, eight hundred eighty-two billion, nine hundred ten million, seventy-two thousand, one hundred sixty".