199406859360 has 192 divisors, whose sum is σ = 631506456000. Its totient is φ = 52890181632.

The previous prime is 199406859341. The next prime is 199406859361. The reversal of 199406859360 is 63958604991.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 199406859294 and 199406859303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199406859361) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128731866 + ... + 128733414.

It is an arithmetic number, because the mean of its divisors is an integer number (3289096125).

Almost surely, 2^199406859360 is an apocalyptic number.

199406859360 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 199406859360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315753228000).

199406859360 is an abundant number, since it is smaller than the sum of its proper divisors (432099596640).

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

199406859360 is a wasteful number, since it uses less digits than its factorization.

199406859360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2833 (or 2825 counting only the distinct ones).

The product of its (nonzero) digits is 12597120, while the sum is 60.

The spelling of 199406859360 in words is "one hundred ninety-nine billion, four hundred six million, eight hundred fifty-nine thousand, three hundred sixty".