85392384800 has 72 divisors (see below), whose sum is σ = 209669494356. Its totient is φ = 33959459840.

The previous prime is 85392384799. The next prime is 85392384811. The reversal of 85392384800 is 848329358.

It can be written as a sum of positive squares in 6 ways, for example, as 32099738896 + 53292645904 = 179164^2 + 230852^2 .

It is a Harshad number since it is a multiple of its sum of digits (50).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 170099 + ... + 446898.

Almost surely, 2^85392384800 is an apocalyptic number.

85392384800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85392384800 is an abundant number, since it is smaller than the sum of its proper divisors (124277109556).

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

85392384800 is a wasteful number, since it uses less digits than its factorization.

85392384800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617190 (or 617177 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 50.

The spelling of 85392384800 in words is "eighty-five billion, three hundred ninety-two million, three hundred eighty-four thousand, eight hundred".