82985358736900 has 81 divisors (see below), whose sum is σ = 180467109738783. Its totient is φ = 33122614680000.

The previous prime is 82985358736879. The next prime is 82985358736909. The reversal of 82985358736900 is 963785358928.

The square root of 82985358736900 is 9109630.

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 36403532529156 + 46581826207744 = 6033534^2 + 6825088^2 .

It is a super-2 number, since 2×82985358736900² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82985358736909) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 68413320694 + ... + 68413321906.

Almost surely, 2^{82985358736900} is an apocalyptic number.

82985358736900 is the 9109630-th square number.

It is an amenable number.

82985358736900 is an abundant number, since it is smaller than the sum of its proper divisors (97481751001883).

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

82985358736900 is an frugal number, since it uses more digits than its factorization.

82985358736900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3942 (or 1971 counting only the distinct ones).

The product of its (nonzero) digits is 783820800, while the sum is 73.

The spelling of 82985358736900 in words is "eighty-two trillion, nine hundred eighty-five billion, three hundred fifty-eight million, seven hundred thirty-six thousand, nine hundred".