199975105260 has 576 divisors, whose sum is σ = 759742663680. Its totient is φ = 43252351488.

The previous prime is 199975105259. The next prime is 199975105277. The reversal of 199975105260 is 62501579991.

199975105260 is a `hidden beast` number, since 19 + 9 + 9 + 7 + 510 + 52 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 199975105197 and 199975105206.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 233342752 + ... + 233343608.

It is an arithmetic number, because the mean of its divisors is an integer number (1318997680).

Almost surely, 2^199975105260 is an apocalyptic number.

199975105260 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 199975105260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379871331840).

199975105260 is an abundant number, since it is smaller than the sum of its proper divisors (559767558420).

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

199975105260 is an equidigital number, since it uses as much as digits as its factorization.

199975105260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 945 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 1530900, while the sum is 54.

The spelling of 199975105260 in words is "one hundred ninety-nine billion, nine hundred seventy-five million, one hundred five thousand, two hundred sixty".