85911658560 has 1792 divisors, whose sum is σ = 403096780800. Its totient is φ = 16930529280.

The previous prime is 85911658559. The next prime is 85911658577. The reversal of 85911658560 is 6585611958.

85911658560 is a `hidden beast` number, since 8 + 5 + 9 + 11 + 65 + 8 + 560 = 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 = 85911658497 and 85911658506.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1210023325 + ... + 1210023395.

It is an arithmetic number, because the mean of its divisors is an integer number (224942400).

Almost surely, 2^85911658560 is an apocalyptic number.

85911658560 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 85911658560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201548390400).

85911658560 is an abundant number, since it is smaller than the sum of its proper divisors (317185122240).

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

85911658560 is a wasteful number, since it uses less digits than its factorization.

85911658560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 54.

The spelling of 85911658560 in words is "eighty-five billion, nine hundred eleven million, six hundred fifty-eight thousand, five hundred sixty".