199785221563392 has 110 divisors (see below), whose sum is σ = 596597730925878. Its totient is φ = 66595073826816.

The previous prime is 199785221563303. The next prime is 199785221563429. The reversal of 199785221563392 is 293365122587991.

199785221563392 is a `hidden beast` number, since 1 + 9 + 9 + 7 + 8 + 5 + 2 + 21 + 563 + 39 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 173705651905536 + 26079569657856 = 13179744^2 + 5106816^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 199785221563392.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1204255053 + ... + 1204420940.

Almost surely, 2^{199785221563392} is an apocalyptic number.

199785221563392 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

199785221563392 is an abundant number, since it is smaller than the sum of its proper divisors (396812509362486).

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

199785221563392 is an equidigital number, since it uses as much as digits as its factorization.

199785221563392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2408676025 (or 2408675998 counting only the distinct ones).

The product of its digits is 440899200, while the sum is 72.

The spelling of 199785221563392 in words is "one hundred ninety-nine trillion, seven hundred eighty-five billion, two hundred twenty-one million, five hundred sixty-three thousand, three hundred ninety-two".