85673290000 has 75 divisors (see below), whose sum is σ = 207494492227. Its totient is φ = 34257608000.

The previous prime is 85673289959. The next prime is 85673290037. The reversal of 85673290000 is 9237658.

The square root of 85673290000 is 292700.

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

It can be written as a sum of positive squares in 2 ways, for example, as 6716785936 + 78956504064 = 81956^2 + 280992^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 29268537 + ... + 29271463.

Almost surely, 2^85673290000 is an apocalyptic number.

85673290000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

85673290000 is the 292700-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85673290000

85673290000 is an abundant number, since it is smaller than the sum of its proper divisors (121821202227).

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

85673290000 is an frugal number, since it uses more digits than its factorization.

85673290000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5882 (or 2934 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 40.

The spelling of 85673290000 in words is "eighty-five billion, six hundred seventy-three million, two hundred ninety thousand".