85329054720 has 2640 divisors, whose sum is σ = 426933128160. Its totient is φ = 16052649984.

The previous prime is 85329054709. The next prime is 85329054749. The reversal of 85329054720 is 2745092358.

85329054720 is a `hidden beast` number, since 8 + 532 + 90 + 5 + 4 + 7 + 20 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 4491002871 + ... + 4491002889.

It is an arithmetic number, because the mean of its divisors is an integer number (161717094).

Almost surely, 2^85329054720 is an apocalyptic number.

85329054720 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 85329054720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213466564080).

85329054720 is an abundant number, since it is smaller than the sum of its proper divisors (341604073440).

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

85329054720 is a wasteful number, since it uses less digits than its factorization.

85329054720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 85329054720 in words is "eighty-five billion, three hundred twenty-nine million, fifty-four thousand, seven hundred twenty".