85857805440 has 512 divisors, whose sum is σ = 334554451200. Its totient is φ = 20808437760.

The previous prime is 85857805417. The next prime is 85857805441. The reversal of 85857805440 is 4450875858.

85857805440 is a `hidden beast` number, since 8 + 585 + 7 + 8 + 0 + 54 + 4 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (85857805441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22997814 + ... + 23001546.

Almost surely, 2^85857805440 is an apocalyptic number.

85857805440 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 85857805440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167277225600).

85857805440 is an abundant number, since it is smaller than the sum of its proper divisors (248696645760).

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

85857805440 is a wasteful number, since it uses less digits than its factorization.

85857805440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3794 (or 3754 counting only the distinct ones).

The product of its (nonzero) digits is 7168000, while the sum is 54.

The spelling of 85857805440 in words is "eighty-five billion, eight hundred fifty-seven million, eight hundred five thousand, four hundred forty".