85895515104 has 144 divisors (see below), whose sum is σ = 262411204608. Its totient is φ = 24530059008.

The previous prime is 85895515093. The next prime is 85895515109. The reversal of 85895515104 is 40151559858.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85895515109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18658467 + ... + 18663069.

It is an arithmetic number, because the mean of its divisors is an integer number (1822300032).

Almost surely, 2^85895515104 is an apocalyptic number.

85895515104 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 85895515104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131205602304).

85895515104 is an abundant number, since it is smaller than the sum of its proper divisors (176515689504).

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

85895515104 is a wasteful number, since it uses less digits than its factorization.

85895515104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8597 (or 8582 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 51.

The spelling of 85895515104 in words is "eighty-five billion, eight hundred ninety-five million, five hundred fifteen thousand, one hundred four".