85906244160 has 756 divisors, whose sum is σ = 345418990644. Its totient is φ = 19577733120.

The previous prime is 85906244159. The next prime is 85906244161. The reversal of 85906244160 is 6144260958.

85906244160 is a `hidden beast` number, since 8 + 5 + 9 + 0 + 624 + 4 + 16 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (85906244159) and next prime (85906244161).

It can be written as a sum of positive squares in 6 ways, for example, as 188457984 + 85717786176 = 13728^2 + 292776^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (85906244161) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 100710294 + ... + 100711146.

Almost surely, 2^85906244160 is an apocalyptic number.

85906244160 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 85906244160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172709495322).

85906244160 is an abundant number, since it is smaller than the sum of its proper divisors (259512746484).

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

85906244160 is a wasteful number, since it uses less digits than its factorization.

85906244160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 932 (or 891 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 85906244160 in words is "eighty-five billion, nine hundred six million, two hundred forty-four thousand, one hundred sixty".