85963709160 has 256 divisors, whose sum is σ = 331526131200. Its totient is φ = 19648707840.

The previous prime is 85963709159. The next prime is 85963709173. The reversal of 85963709160 is 6190736958.

85963709160 is a `hidden beast` number, since 8 + 596 + 37 + 0 + 9 + 16 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 85963709097 and 85963709106.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 542170 + ... + 682550.

It is an arithmetic number, because the mean of its divisors is an integer number (1295023950).

Almost surely, 2^85963709160 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 85963709160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165763065600).

85963709160 is an abundant number, since it is smaller than the sum of its proper divisors (245562422040).

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

85963709160 is a wasteful number, since it uses less digits than its factorization.

85963709160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140420 (or 140398 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 85963709160 in words is "eighty-five billion, nine hundred sixty-three million, seven hundred nine thousand, one hundred sixty".