85258622904 has 576 divisors, whose sum is σ = 296335065600. Its totient is φ = 20218834944.

The previous prime is 85258622903. The next prime is 85258622941. The reversal of 85258622904 is 40922685258.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85258622903) 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 143 ways as a sum of consecutive naturals, for example, 101618917 + ... + 101619755.

It is an arithmetic number, because the mean of its divisors is an integer number (514470600).

Almost surely, 2^85258622904 is an apocalyptic number.

85258622904 is a gapful number since it is divisible by the number (84) 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 85258622904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148167532800).

85258622904 is an abundant number, since it is smaller than the sum of its proper divisors (211076442696).

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

85258622904 is a wasteful number, since it uses less digits than its factorization.

85258622904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 932 (or 904 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 51.

The spelling of 85258622904 in words is "eighty-five billion, two hundred fifty-eight million, six hundred twenty-two thousand, nine hundred four".