85759145990 has 128 divisors (see below), whose sum is σ = 181937664000. Its totient is φ = 28501963776.

The previous prime is 85759145987. The next prime is 85759146017. The reversal of 85759145990 is 9954195758.

It is a super-2 number, since 2×85759145990² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 80223176 + ... + 80224244.

It is an arithmetic number, because the mean of its divisors is an integer number (1421388000).

Almost surely, 2^85759145990 is an apocalyptic number.

85759145990 is an abundant number, since it is smaller than the sum of its proper divisors (96178518010).

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

85759145990 is a wasteful number, since it uses less digits than its factorization.

85759145990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1414.

The product of its (nonzero) digits is 20412000, while the sum is 62.

The spelling of 85759145990 in words is "eighty-five billion, seven hundred fifty-nine million, one hundred forty-five thousand, nine hundred ninety".