83932532560900 has 81 divisors (see below), whose sum is σ = 193481146863487. Its totient is φ = 31597543571200.

The previous prime is 83932532560859. The next prime is 83932532560901. The reversal of 83932532560900 is 906523523938.

The square root of 83932532560900 is 9161470.

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 1963266159556 + 81969266401344 = 1401166^2 + 9053688^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (83932532560901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1557422955 + ... + 1557476845.

Almost surely, 2^{83932532560900} is an apocalyptic number.

83932532560900 is the 9161470-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83932532560900

83932532560900 is an abundant number, since it is smaller than the sum of its proper divisors (109548614302587).

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

83932532560900 is an frugal number, since it uses more digits than its factorization.

83932532560900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107830 (or 53915 counting only the distinct ones).

The product of its (nonzero) digits is 10497600, while the sum is 55.

The spelling of 83932532560900 in words is "eighty-three trillion, nine hundred thirty-two billion, five hundred thirty-two million, five hundred sixty thousand, nine hundred".