199379535264 has 240 divisors, whose sum is σ = 721686607488. Its totient is φ = 52583551488.

The previous prime is 199379535247. The next prime is 199379535347. The reversal of 199379535264 is 462535973991.

199379535264 is a `hidden beast` number, since 1 + 9 + 9 + 3 + 79 + 535 + 26 + 4 = 666.

199379535264 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 (63).

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 39 ways as a sum of consecutive naturals, for example, 186772 + ... + 658515.

Almost surely, 2^199379535264 is an apocalyptic number.

199379535264 is a gapful number since it is divisible by the number (14) 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 199379535264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360843303744).

199379535264 is an abundant number, since it is smaller than the sum of its proper divisors (522307072224).

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

199379535264 is a wasteful number, since it uses less digits than its factorization.

199379535264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 845329 (or 845312 counting only the distinct ones).

The product of its digits is 55112400, while the sum is 63.

The spelling of 199379535264 in words is "one hundred ninety-nine billion, three hundred seventy-nine million, five hundred thirty-five thousand, two hundred sixty-four".