199253910960 has 320 divisors, whose sum is σ = 771250636800. Its totient is φ = 46914481152.

The previous prime is 199253910953. The next prime is 199253910979. The reversal of 199253910960 is 69019352991.

199253910960 is a `hidden beast` number, since 1 + 9 + 9 + 2 + 539 + 10 + 96 + 0 = 666.

199253910960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 199253910897 and 199253910906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 491581 + ... + 800099.

It is an arithmetic number, because the mean of its divisors is an integer number (2410158240).

Almost surely, 2^199253910960 is an apocalyptic number.

199253910960 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 199253910960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385625318400).

199253910960 is an abundant number, since it is smaller than the sum of its proper divisors (571996725840).

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

199253910960 is a wasteful number, since it uses less digits than its factorization.

199253910960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308577 (or 308565 counting only the distinct ones).

The product of its (nonzero) digits is 1180980, while the sum is 54.

The spelling of 199253910960 in words is "one hundred ninety-nine billion, two hundred fifty-three million, nine hundred ten thousand, nine hundred sixty".