85500502560 has 768 divisors, whose sum is σ = 335351923200. Its totient is φ = 20424130560.

The previous prime is 85500502523. The next prime is 85500502567. The reversal of 85500502560 is 6520500558.

85500502560 is a `hidden beast` number, since 8 + 550 + 0 + 50 + 2 + 56 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (85500502567) 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, 373364526 + ... + 373364754.

It is an arithmetic number, because the mean of its divisors is an integer number (436656150).

Almost surely, 2^85500502560 is an apocalyptic number.

85500502560 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 85500502560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167675961600).

85500502560 is an abundant number, since it is smaller than the sum of its proper divisors (249851420640).

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

85500502560 is a wasteful number, since it uses less digits than its factorization.

85500502560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

The spelling of 85500502560 in words is "eighty-five billion, five hundred million, five hundred two thousand, five hundred sixty".