85253575680 has 1232 divisors, whose sum is σ = 378885354624. Its totient is φ = 17915904000.

The previous prime is 85253575679. The next prime is 85253575691. The reversal of 85253575680 is 8657535258.

It is a happy number.

85253575680 is a `hidden beast` number, since 8 + 5 + 2 + 5 + 3 + 575 + 68 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 339655555 + ... + 339655805.

Almost surely, 2^85253575680 is an apocalyptic number.

85253575680 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 85253575680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189442677312).

85253575680 is an abundant number, since it is smaller than the sum of its proper divisors (293631778944).

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

85253575680 is a wasteful number, since it uses less digits than its factorization.

85253575680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 10080000, while the sum is 54.

The spelling of 85253575680 in words is "eighty-five billion, two hundred fifty-three million, five hundred seventy-five thousand, six hundred eighty".