85234770000 has 900 divisors, whose sum is σ = 330461265420. Its totient is φ = 20471808000.

The previous prime is 85234769959. The next prime is 85234770001. The reversal of 85234770000 is 7743258.

It can be written as a sum of positive squares in 30 ways, for example, as 77680378944 + 7554391056 = 278712^2 + 86916^2 .

It is a tau number, because it is divible by the number of its divisors (900).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85234770001) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 754289944 + ... + 754290056.

Almost surely, 2^85234770000 is an apocalyptic number.

85234770000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85234770000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165230632710).

85234770000 is an abundant number, since it is smaller than the sum of its proper divisors (245226495420).

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

85234770000 is a wasteful number, since it uses less digits than its factorization.

85234770000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 85234770000 in words is "eighty-five billion, two hundred thirty-four million, seven hundred seventy thousand".