85133100097600 has 189 divisors, whose sum is σ = 210547648561341. Its totient is φ = 33880662720000.

The previous prime is 85133100097583. The next prime is 85133100097609. The reversal of 85133100097600 is 679000133158.

The square root of 85133100097600 is 9226760.

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

It can be written as a sum of positive squares in only one way, i.e., 30647916035136 + 54485184062464 = 5536056^2 + 7381408^2 .

It is a super-2 number, since 2×85133100097600² (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 (85133100097609) 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, 92636669941 + ... + 92636670859.

Almost surely, 2^{85133100097600} is an apocalyptic number.

85133100097600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

85133100097600 is the 9226760-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85133100097600

85133100097600 is an abundant number, since it is smaller than the sum of its proper divisors (125414548463741).

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

85133100097600 is an frugal number, since it uses more digits than its factorization.

85133100097600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2362 (or 1177 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 43.

The spelling of 85133100097600 in words is "eighty-five trillion, one hundred thirty-three billion, one hundred million, ninety-seven thousand, six hundred".