84985595520 has 1024 divisors, whose sum is σ = 340855603200. Its totient is φ = 17581473792.

The previous prime is 84985595503. The next prime is 84985595521. The reversal of 84985595520 is 2559558948.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (84985595521) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 876140112 + ... + 876140208.

It is an arithmetic number, because the mean of its divisors is an integer number (332866800).

Almost surely, 2^84985595520 is an apocalyptic number.

84985595520 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 84985595520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170427801600).

84985595520 is an abundant number, since it is smaller than the sum of its proper divisors (255870007680).

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

84985595520 is a wasteful number, since it uses less digits than its factorization.

84985595520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 25920000, while the sum is 60.

The spelling of 84985595520 in words is "eighty-four billion, nine hundred eighty-five million, five hundred ninety-five thousand, five hundred twenty".