85332465365760 has 432 divisors, whose sum is σ = 300883501376640. Its totient is φ = 22324140933120.

The previous prime is 85332465365753. The next prime is 85332465365803. The reversal of 85332465365760 is 6756356423358.

85332465365760 is a `hidden beast` number, since 8 + 5 + 3 + 3 + 2 + 4 + 6 + 53 + 6 + 576 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 142583950 + ... + 143181170.

It is an arithmetic number, because the mean of its divisors is an integer number (696489586520).

Almost surely, 2^{85332465365760} is an apocalyptic number.

85332465365760 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 85332465365760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150441750688320).

85332465365760 is an abundant number, since it is smaller than the sum of its proper divisors (215551036010880).

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

85332465365760 is a wasteful number, since it uses less digits than its factorization.

85332465365760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597484 (or 597467 counting only the distinct ones).

The product of its (nonzero) digits is 326592000, while the sum is 63.

The spelling of 85332465365760 in words is "eighty-five trillion, three hundred thirty-two billion, four hundred sixty-five million, three hundred sixty-five thousand, seven hundred sixty".