85200355881 has 27 divisors (see below), whose sum is σ = 124088706469. Its totient is φ = 56332627872.

The previous prime is 85200355733. The next prime is 85200355937. The reversal of 85200355881 is 18855300258.

The square root of 85200355881 is 291891.

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 36881282025 + 48319073856 = 192045^2 + 219816^2 .

It is not a de Polignac number, because 85200355881 - 2²⁷ = 85066138153 is a prime.

It is a super-2 number, since 2×85200355881² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85200353881) 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, 130474951 + ... + 130475603.

Almost surely, 2^85200355881 is an apocalyptic number.

85200355881 is the 291891-st square number.

85200355881 is the 145946-th centered octagonal number.

It is an amenable number.

85200355881 is a deficient number, since it is larger than the sum of its proper divisors (38888350588).

85200355881 is an frugal number, since it uses more digits than its factorization.

85200355881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1610 (or 805 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 45.

The spelling of 85200355881 in words is "eighty-five billion, two hundred million, three hundred fifty-five thousand, eight hundred eighty-one".