19993161600 has 144 divisors (see below), whose sum is σ = 71340285120. Its totient is φ = 5331502080.

The previous prime is 19993161577. The next prime is 19993161611. The reversal of 19993161600 is 616139991.

19993161600 is a `hidden beast` number, since 1 + 9 + 9 + 9 + 31 + 6 + 1 + 600 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 17 ways as a sum of consecutive naturals, for example, 318304 + ... + 375903.

Almost surely, 2^19993161600 is an apocalyptic number.

19993161600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

19993161600 is an abundant number, since it is smaller than the sum of its proper divisors (51347123520).

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

19993161600 is a wasteful number, since it uses less digits than its factorization.

19993161600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694237 (or 694217 counting only the distinct ones).

The product of its (nonzero) digits is 78732, while the sum is 45.

The spelling of 19993161600 in words is "nineteen billion, nine hundred ninety-three million, one hundred sixty-one thousand, six hundred".