85189264384 has 99 divisors (see below), whose sum is σ = 198250805727. Its totient is φ = 36481665024.

The previous prime is 85189264373. The next prime is 85189264399. The reversal of 85189264384 is 48346298158.

The square root of 85189264384 is 291872.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 65378677 + ... + 65379979.

Almost surely, 2^85189264384 is an apocalyptic number.

85189264384 is the 291872-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85189264384

85189264384 is an abundant number, since it is smaller than the sum of its proper divisors (113061541343).

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

85189264384 is an frugal number, since it uses more digits than its factorization.

85189264384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2640 (or 1312 counting only the distinct ones).

The product of its digits is 13271040, while the sum is 58.

The spelling of 85189264384 in words is "eighty-five billion, one hundred eighty-nine million, two hundred sixty-four thousand, three hundred eighty-four".