199064355840 has 1232 divisors, whose sum is σ = 863446216320. Its totient is φ = 42998169600.

The previous prime is 199064355817. The next prime is 199064355901. The reversal of 199064355840 is 48553460991.

199064355840 is a `hidden beast` number, since 1 + 9 + 9 + 0 + 6 + 43 + 558 + 40 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 496419640 + ... + 496420040.

Almost surely, 2^199064355840 is an apocalyptic number.

199064355840 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 199064355840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431723108160).

199064355840 is an abundant number, since it is smaller than the sum of its proper divisors (664381860480).

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

199064355840 is an equidigital number, since it uses as much as digits as its factorization.

199064355840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 199064355840 in words is "one hundred ninety-nine billion, sixty-four million, three hundred fifty-five thousand, eight hundred forty".