85999656960 has 1260 divisors, whose sum is σ = 374912602218. Its totient is φ = 18802409472.

The previous prime is 85999656929. The next prime is 85999656991. The reversal of 85999656960 is 6965699958.

85999656960 is a `hidden beast` number, since 8 + 59 + 9 + 9 + 6 + 569 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (85999656929) and next prime (85999656991).

It can be written as a sum of positive squares in only one way, i.e., 77399691264 + 8599965696 = 278208^2 + 92736^2 .

It is a tau number, because it is divible by the number of its divisors (1260).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a zygodrome in base 4.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 3739115509 + ... + 3739115531.

Almost surely, 2^85999656960 is an apocalyptic number.

85999656960 is a gapful number since it is divisible by the number (80) 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 85999656960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187456301109).

85999656960 is an abundant number, since it is smaller than the sum of its proper divisors (288912945258).

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

85999656960 is an equidigital number, since it uses as much as digits as its factorization.

85999656960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 283435200, while the sum is 72.

The spelling of 85999656960 in words is "eighty-five billion, nine hundred ninety-nine million, six hundred fifty-six thousand, nine hundred sixty".