85439290000 has 225 divisors, whose sum is σ = 215324087517. Its totient is φ = 32831136000.

The previous prime is 85439289941. The next prime is 85439290033. The reversal of 85439290000 is 9293458.

It is a happy number.

The square root of 85439290000 is 292300.

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

It can be written as a sum of positive squares in 7 ways, for example, as 28367991184 + 57071298816 = 168428^2 + 238896^2 .

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 44 ways as a sum of consecutive naturals, for example, 1081509961 + ... + 1081510039.

Almost surely, 2^85439290000 is an apocalyptic number.

85439290000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

85439290000 is the 292300-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85439290000

85439290000 is an abundant number, since it is smaller than the sum of its proper divisors (129884797517).

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

85439290000 is an frugal number, since it uses more digits than its factorization.

85439290000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 40.

The spelling of 85439290000 in words is "eighty-five billion, four hundred thirty-nine million, two hundred ninety thousand".