199905259680 has 144 divisors (see below), whose sum is σ = 779630552064. Its totient is φ = 45692628480.

The previous prime is 199905259649. The next prime is 199905259699. The reversal of 199905259680 is 86952509991.

199905259680 is a `hidden beast` number, since 19 + 9 + 9 + 0 + 525 + 96 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×199905259680² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9905856 + ... + 9926015.

It is an arithmetic number, because the mean of its divisors is an integer number (5414101056).

Almost surely, 2^199905259680 is an apocalyptic number.

199905259680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

199905259680 is an abundant number, since it is smaller than the sum of its proper divisors (579725292384).

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

199905259680 is a wasteful number, since it uses less digits than its factorization.

199905259680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19831899 (or 19831888 counting only the distinct ones).

The product of its (nonzero) digits is 15746400, while the sum is 63.

The spelling of 199905259680 in words is "one hundred ninety-nine billion, nine hundred five million, two hundred fifty-nine thousand, six hundred eighty".