85898313648 has 200 divisors, whose sum is σ = 284445952032. Its totient is φ = 24515177472.

The previous prime is 85898313617. The next prime is 85898313667. The reversal of 85898313648 is 84631389858.

85898313648 is a `hidden beast` number, since 8 + 589 + 8 + 3 + 1 + 3 + 6 + 48 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9040036 + ... + 9049532.

Almost surely, 2^85898313648 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 85898313648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142222976016).

85898313648 is an abundant number, since it is smaller than the sum of its proper divisors (198547638384).

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

85898313648 is a wasteful number, since it uses less digits than its factorization.

85898313648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10521 (or 10506 counting only the distinct ones).

The product of its digits is 39813120, while the sum is 63.

The spelling of 85898313648 in words is "eighty-five billion, eight hundred ninety-eight million, three hundred thirteen thousand, six hundred forty-eight".