85864955904 has 840 divisors, whose sum is σ = 320896405760. Its totient is φ = 22359048192.

The previous prime is 85864955851. The next prime is 85864955941. The reversal of 85864955904 is 40955946858.

85864955904 is a `hidden beast` number, since 8 + 58 + 6 + 495 + 5 + 90 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1086898137 + ... + 1086898215.

Almost surely, 2^85864955904 is an apocalyptic number.

85864955904 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 85864955904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160448202880).

85864955904 is an abundant number, since it is smaller than the sum of its proper divisors (235031449856).

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

85864955904 is an frugal number, since it uses more digits than its factorization.

85864955904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 62208000, while the sum is 63.

The spelling of 85864955904 in words is "eighty-five billion, eight hundred sixty-four million, nine hundred fifty-five thousand, nine hundred four".