199052974080 has 864 divisors, whose sum is σ = 755483863680. Its totient is φ = 48412753920.

The previous prime is 199052974031. The next prime is 199052974091. The reversal of 199052974080 is 80479250991.

199052974080 is a `hidden beast` number, since 19 + 90 + 52 + 97 + 408 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1031362464 + ... + 1031362656.

It is an arithmetic number, because the mean of its divisors is an integer number (874402620).

Almost surely, 2^199052974080 is an apocalyptic number.

199052974080 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 199052974080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377741931840).

199052974080 is an abundant number, since it is smaller than the sum of its proper divisors (556430889600).

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

199052974080 is a wasteful number, since it uses less digits than its factorization.

199052974080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The spelling of 199052974080 in words is "one hundred ninety-nine billion, fifty-two million, nine hundred seventy-four thousand, eighty".