85616648460 has 240 divisors, whose sum is σ = 313217889600. Its totient is φ = 19569392640.

The previous prime is 85616648441. The next prime is 85616648477. The reversal of 85616648460 is 6484661658.

85616648460 is a `hidden beast` number, since 85 + 6 + 1 + 66 + 48 + 460 = 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 = 85616648397 and 85616648406.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 478620 + ... + 632700.

It is an arithmetic number, because the mean of its divisors is an integer number (1305074540).

Almost surely, 2^85616648460 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 85616648460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156608944800).

85616648460 is an abundant number, since it is smaller than the sum of its proper divisors (227601241140).

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

85616648460 is a wasteful number, since it uses less digits than its factorization.

85616648460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154123 (or 154098 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 85616648460 in words is "eighty-five billion, six hundred sixteen million, six hundred forty-eight thousand, four hundred sixty".