85525862240 has 576 divisors, whose sum is σ = 263212141248. Its totient is φ = 26011238400.

The previous prime is 85525862167. The next prime is 85525862243. The reversal of 85525862240 is 4226852558.

It is a super-2 number, since 2×85525862240² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85525862243) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 405335735 + ... + 405335945.

It is an arithmetic number, because the mean of its divisors is an integer number (456965523).

Almost surely, 2^85525862240 is an apocalyptic number.

85525862240 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 85525862240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131606070624).

85525862240 is an abundant number, since it is smaller than the sum of its proper divisors (177686279008).

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

85525862240 is a wasteful number, since it uses less digits than its factorization.

85525862240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 1536000, while the sum is 47.

The spelling of 85525862240 in words is "eighty-five billion, five hundred twenty-five million, eight hundred sixty-two thousand, two hundred forty".