85623527520 has 384 divisors, whose sum is σ = 308720885760. Its totient is φ = 22150656000.

The previous prime is 85623527497. The next prime is 85623527527. The reversal of 85623527520 is 2572532658.

85623527520 is a `hidden beast` number, since 8 + 56 + 23 + 52 + 7 + 520 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85623527527) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33828655 + ... + 33831185.

It is an arithmetic number, because the mean of its divisors is an integer number (803960640).

Almost surely, 2^85623527520 is an apocalyptic number.

85623527520 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 85623527520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154360442880).

85623527520 is an abundant number, since it is smaller than the sum of its proper divisors (223097358240).

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

85623527520 is a wasteful number, since it uses less digits than its factorization.

85623527520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2787 (or 2773 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 85623527520 in words is "eighty-five billion, six hundred twenty-three million, five hundred twenty-seven thousand, five hundred twenty".