85580217900 has 180 divisors, whose sum is σ = 283321012128. Its totient is φ = 22335730560.

The previous prime is 85580217883. The next prime is 85580217923. The reversal of 85580217900 is 971208558.

It is a happy number.

85580217900 is a `hidden beast` number, since 8 + 558 + 0 + 2 + 1 + 7 + 90 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×85580217900² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 268302 + ... + 493098.

Almost surely, 2^85580217900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85580217900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141660506064).

85580217900 is an abundant number, since it is smaller than the sum of its proper divisors (197740794228).

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

85580217900 is a wasteful number, since it uses less digits than its factorization.

85580217900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224870 (or 224854 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

The spelling of 85580217900 in words is "eighty-five billion, five hundred eighty million, two hundred seventeen thousand, nine hundred".