199904261475888 has 320 divisors, whose sum is σ = 608321805091200. Its totient is φ = 62635672535040.

The previous prime is 199904261475869. The next prime is 199904261475907. The reversal of 199904261475888 is 888574162409991.

199904261475888 is a `hidden beast` number, since 1 + 9 + 9 + 9 + 0 + 4 + 2 + 61 + 475 + 8 + 88 = 666.

It is an interprime number because it is at equal distance from previous prime (199904261475869) and next prime (199904261475907).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23059663618 + ... + 23059672286.

It is an arithmetic number, because the mean of its divisors is an integer number (1901005640910).

Almost surely, 2^{199904261475888} is an apocalyptic number.

199904261475888 is a gapful number since it is divisible by the number (18) 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 199904261475888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304160902545600).

199904261475888 is an abundant number, since it is smaller than the sum of its proper divisors (408417543615312).

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

199904261475888 is a wasteful number, since it uses less digits than its factorization.

199904261475888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12317 (or 12305 counting only the distinct ones).

The product of its (nonzero) digits is 2508226560, while the sum is 81.

The spelling of 199904261475888 in words is "one hundred ninety-nine trillion, nine hundred four billion, two hundred sixty-one million, four hundred seventy-five thousand, eight hundred eighty-eight".