195988221264960 has 336 divisors, whose sum is σ = 703608261722496. Its totient is φ = 49978337181696.

The previous prime is 195988221264949. The next prime is 195988221264961. The reversal of 195988221264960 is 69462122889591.

195988221264960 is a `hidden beast` number, since 1 + 9 + 5 + 9 + 8 + 8 + 2 + 2 + 126 + 496 + 0 = 666.

It is a super-2 number, since 2×195988221264960² (a number of 29 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (195988221264961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 258421032 + ... + 259178328.

Almost surely, 2^{195988221264960} is an apocalyptic number.

195988221264960 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 195988221264960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351804130861248).

195988221264960 is an abundant number, since it is smaller than the sum of its proper divisors (507620040457536).

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

195988221264960 is a wasteful number, since it uses less digits than its factorization.

195988221264960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761250 (or 761237 counting only the distinct ones).

The product of its (nonzero) digits is 268738560, while the sum is 72.

The spelling of 195988221264960 in words is "one hundred ninety-five trillion, nine hundred eighty-eight billion, two hundred twenty-one million, two hundred sixty-four thousand, nine hundred sixty".