85898502144 has 1008 divisors, whose sum is σ = 326317904640. Its totient is φ = 21552168960.

The previous prime is 85898502127. The next prime is 85898502197. The reversal of 85898502144 is 44120589858.

85898502144 is a `hidden beast` number, since 8 + 5 + 8 + 98 + 502 + 1 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1455906787 + ... + 1455906845.

It is an arithmetic number, because the mean of its divisors is an integer number (323728080).

Almost surely, 2^85898502144 is an apocalyptic number.

85898502144 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 85898502144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163158952320).

85898502144 is an abundant number, since it is smaller than the sum of its proper divisors (240419402496).

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

85898502144 is a wasteful number, since it uses less digits than its factorization.

85898502144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 54.

The spelling of 85898502144 in words is "eighty-five billion, eight hundred ninety-eight million, five hundred two thousand, one hundred forty-four".