85518874368 has 108 divisors (see below), whose sum is σ = 247850861440. Its totient is φ = 28358443008.

The previous prime is 85518874219. The next prime is 85518874369. The reversal of 85518874368 is 86347881558.

85518874368 is a `hidden beast` number, since 8 + 5 + 518 + 87 + 4 + 36 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85518874369) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 348513 + ... + 540831.

Almost surely, 2^85518874368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85518874368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123925430720).

85518874368 is an abundant number, since it is smaller than the sum of its proper divisors (162331987072).

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

85518874368 is a wasteful number, since it uses less digits than its factorization.

85518874368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192534 (or 192517 counting only the distinct ones).

The product of its digits is 51609600, while the sum is 63.

The spelling of 85518874368 in words is "eighty-five billion, five hundred eighteen million, eight hundred seventy-four thousand, three hundred sixty-eight".