17985877432576 has 81 divisors (see below), whose sum is σ = 36045782790339. Its totient is φ = 8956941312000.

The previous prime is 17985877432571. The next prime is 17985877432591. The reversal of 17985877432576 is 67523477858971.

The square root of 17985877432576 is 4240976.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 12731879966976 + 5253997465600 = 3568176^2 + 2292160^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 17985877432496 and 17985877432505.

It is not an unprimeable number, because it can be changed into a prime (17985877432571) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 27210101686 + ... + 27210102346.

Almost surely, 2^{17985877432576} is an apocalyptic number.

17985877432576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

17985877432576 is the 4240976-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 17985877432576

17985877432576 is an abundant number, since it is smaller than the sum of its proper divisors (18059905357763).

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

17985877432576 is an frugal number, since it uses more digits than its factorization.

17985877432576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2140 (or 1064 counting only the distinct ones).

The product of its digits is 4978713600, while the sum is 79.

The spelling of 17985877432576 in words is "seventeen trillion, nine hundred eighty-five billion, eight hundred seventy-seven million, four hundred thirty-two thousand, five hundred seventy-six".