85581167904260 has 24 divisors (see below), whose sum is σ = 205394802970560. Its totient is φ = 29342114709984.

The previous prime is 85581167904257. The next prime is 85581167904263. The reversal of 85581167904260 is 6240976118558.

It is an interprime number because it is at equal distance from previous prime (85581167904257) and next prime (85581167904263).

It is a super-2 number, since 2×85581167904260² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 85581167904193 and 85581167904202.

It is not an unprimeable number, because it can be changed into a prime (85581167904263) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 305647028090 + ... + 305647028369.

It is an arithmetic number, because the mean of its divisors is an integer number (8558116790440).

Almost surely, 2^{85581167904260} is an apocalyptic number.

It is an amenable number.

85581167904260 is an abundant number, since it is smaller than the sum of its proper divisors (119813635066300).

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

85581167904260 is a wasteful number, since it uses less digits than its factorization.

85581167904260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611294056475 (or 611294056473 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 62.

The spelling of 85581167904260 in words is "eighty-five trillion, five hundred eighty-one billion, one hundred sixty-seven million, nine hundred four thousand, two hundred sixty".