85741749600 has 144 divisors (see below), whose sum is σ = 300557919312. Its totient is φ = 21105653760.

The previous prime is 85741749589. The next prime is 85741749601. The reversal of 85741749600 is 694714758.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85741749601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1342867 + ... + 1405266.

It is an arithmetic number, because the mean of its divisors is an integer number (2087207773).

Almost surely, 2^85741749600 is an apocalyptic number.

85741749600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85741749600 is an abundant number, since it is smaller than the sum of its proper divisors (214816169712).

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

85741749600 is a wasteful number, since it uses less digits than its factorization.

85741749600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2748169 (or 2748156 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 51.

The spelling of 85741749600 in words is "eighty-five billion, seven hundred forty-one million, seven hundred forty-nine thousand, six hundred".