85365742720 has 64 divisors (see below), whose sum is σ = 204163659000. Its totient is φ = 34131877888.

The previous prime is 85365742601. The next prime is 85365742727. The reversal of 85365742720 is 2724756358.

It can be written as a sum of positive squares in 4 ways, for example, as 84653066304 + 712676416 = 290952^2 + 26696^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (85365742727) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1558356 + ... + 1612204.

Almost surely, 2^85365742720 is an apocalyptic number.

85365742720 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85365742720 is an abundant number, since it is smaller than the sum of its proper divisors (118797916280).

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

85365742720 is a wasteful number, since it uses less digits than its factorization.

85365742720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56345 (or 56333 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 49.

The spelling of 85365742720 in words is "eighty-five billion, three hundred sixty-five million, seven hundred forty-two thousand, seven hundred twenty".