85233358080 has 864 divisors, whose sum is σ = 334110801024. Its totient is φ = 20678934528.

The previous prime is 85233358057. The next prime is 85233358087. The reversal of 85233358080 is 8085333258.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85233358087) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 432656542 + ... + 432656738.

It is an arithmetic number, because the mean of its divisors is an integer number (386702316).

Almost surely, 2^85233358080 is an apocalyptic number.

85233358080 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 85233358080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167055400512).

85233358080 is an abundant number, since it is smaller than the sum of its proper divisors (248877442944).

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

85233358080 is a wasteful number, since it uses less digits than its factorization.

85233358080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 85233358080 in words is "eighty-five billion, two hundred thirty-three million, three hundred fifty-eight thousand, eighty".