85557980160 has 220 divisors, whose sum is σ = 306592913088. Its totient is φ = 22815350784.

The previous prime is 85557980119. The next prime is 85557980219. The reversal of 85557980160 is 6108975558.

85557980160 is a `hidden beast` number, since 8 + 5 + 5 + 579 + 8 + 0 + 1 + 60 = 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 = 85557980097 and 85557980106.

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 19 ways as a sum of consecutive naturals, for example, 311569 + ... + 517871.

Almost surely, 2^85557980160 is an apocalyptic number.

85557980160 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 85557980160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153296456544).

85557980160 is an abundant number, since it is smaller than the sum of its proper divisors (221034932928).

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

85557980160 is a wasteful number, since it uses less digits than its factorization.

85557980160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206340 (or 206313 counting only the distinct ones).

The product of its (nonzero) digits is 3024000, while the sum is 54.

The spelling of 85557980160 in words is "eighty-five billion, five hundred fifty-seven million, nine hundred eighty thousand, one hundred sixty".