85356596900 has 18 divisors (see below), whose sum is σ = 185223815490. Its totient is φ = 34142638720.

The previous prime is 85356596869. The next prime is 85356596903. The reversal of 85356596900 is 969565358.

It can be written as a sum of positive squares in 3 ways, for example, as 648822784 + 84707774116 = 25472^2 + 291046^2 .

It is a super-2 number, since 2×85356596900² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (85356596903) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 426782885 + ... + 426783084.

Almost surely, 2^85356596900 is an apocalyptic number.

It is an amenable number.

85356596900 is an abundant number, since it is smaller than the sum of its proper divisors (99867218590).

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

85356596900 is a wasteful number, since it uses less digits than its factorization.

85356596900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 853565983 (or 853565976 counting only the distinct ones).

The product of its (nonzero) digits is 8748000, while the sum is 56.

The spelling of 85356596900 in words is "eighty-five billion, three hundred fifty-six million, five hundred ninety-six thousand, nine hundred".