85205975040 has 456 divisors, whose sum is σ = 306217162368. Its totient is φ = 21894266880.

The previous prime is 85205975039. The next prime is 85205975137. The reversal of 85205975040 is 4057950258.

85205975040 is a `hidden beast` number, since 8 + 5 + 2 + 0 + 597 + 50 + 4 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 365690764 + ... + 365690996.

Almost surely, 2^85205975040 is an apocalyptic number.

85205975040 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 85205975040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153108581184).

85205975040 is an abundant number, since it is smaller than the sum of its proper divisors (221011187328).

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

85205975040 is an equidigital number, since it uses as much as digits as its factorization.

85205975040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The spelling of 85205975040 in words is "eighty-five billion, two hundred five million, nine hundred seventy-five thousand, forty".