85516041520 has 240 divisors, whose sum is σ = 250102510272. Its totient is φ = 26618941440.

The previous prime is 85516041509. The next prime is 85516041617. The reversal of 85516041520 is 2514061558.

It is a self number, because there is not a number n which added to its sum of digits gives 85516041520.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5765634 + ... + 5780446.

Almost surely, 2^85516041520 is an apocalyptic number.

85516041520 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 85516041520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125051255136).

85516041520 is an abundant number, since it is smaller than the sum of its proper divisors (164586468752).

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

85516041520 is a wasteful number, since it uses less digits than its factorization.

85516041520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14920 (or 14901 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 37.

The spelling of 85516041520 in words is "eighty-five billion, five hundred sixteen million, forty-one thousand, five hundred twenty".