85487640408 has 160 divisors (see below), whose sum is σ = 244415160000. Its totient is φ = 27908375040.

The previous prime is 85487640209. The next prime is 85487640421. The reversal of 85487640408 is 80404678458.

85487640408 is a `hidden beast` number, since 85 + 487 + 6 + 40 + 40 + 8 = 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 polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9442668 + ... + 9451716.

It is an arithmetic number, because the mean of its divisors is an integer number (1527594750).

Almost surely, 2^85487640408 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 85487640408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122207580000).

85487640408 is an abundant number, since it is smaller than the sum of its proper divisors (158927519592).

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

85487640408 is a wasteful number, since it uses less digits than its factorization.

85487640408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9367 (or 9354 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 54.

The spelling of 85487640408 in words is "eighty-five billion, four hundred eighty-seven million, six hundred forty thousand, four hundred eight".