85575540960 has 1728 divisors, whose sum is σ = 399250156032. Its totient is φ = 16849907712.

The previous prime is 85575540943. The next prime is 85575540971. The reversal of 85575540960 is 6904557558.

85575540960 is a `hidden beast` number, since 8 + 5 + 5 + 7 + 5 + 540 + 96 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 85575540897 and 85575540906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1277246847 + ... + 1277246913.

It is an arithmetic number, because the mean of its divisors is an integer number (231047544).

Almost surely, 2^85575540960 is an apocalyptic number.

85575540960 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 85575540960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199625078016).

85575540960 is an abundant number, since it is smaller than the sum of its proper divisors (313674615072).

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

85575540960 is a wasteful number, since it uses less digits than its factorization.

85575540960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 7560000, while the sum is 54.

The spelling of 85575540960 in words is "eighty-five billion, five hundred seventy-five million, five hundred forty thousand, nine hundred sixty".