85975093440 has 112 divisors (see below), whose sum is σ = 303301054560. Its totient is φ = 22926689280.

The previous prime is 85975093433. The next prime is 85975093447. The reversal of 85975093440 is 4439057958.

85975093440 is a `hidden beast` number, since 8 + 5 + 97 + 509 + 3 + 4 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (85975093433) and next prime (85975093447).

It is a super-3 number, since 3×85975093440³ (a number of 34 digits) contains 333 as substring.

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 (85975093447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4966771 + ... + 4984050.

It is an arithmetic number, because the mean of its divisors is an integer number (2708045130).

Almost surely, 2^85975093440 is an apocalyptic number.

85975093440 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85975093440 is an abundant number, since it is smaller than the sum of its proper divisors (217325961120).

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

85975093440 is a wasteful number, since it uses less digits than its factorization.

85975093440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9950847 (or 9950831 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 85975093440 in words is "eighty-five billion, nine hundred seventy-five million, ninety-three thousand, four hundred forty".