85651289460 has 384 divisors, whose sum is σ = 301923417600. Its totient is φ = 19967754240.

The previous prime is 85651289459. The next prime is 85651289539. The reversal of 85651289460 is 6498215658.

85651289460 is a `hidden beast` number, since 8 + 5 + 6 + 512 + 89 + 46 + 0 = 666.

It is a super-2 number, since 2×85651289460² (a number of 23 digits) contains 22 as substring.

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 = 85651289397 and 85651289406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 50471332 + ... + 50473028.

It is an arithmetic number, because the mean of its divisors is an integer number (786258900).

Almost surely, 2^85651289460 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 85651289460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150961708800).

85651289460 is an abundant number, since it is smaller than the sum of its proper divisors (216272128140).

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

85651289460 is a wasteful number, since it uses less digits than its factorization.

85651289460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2048 (or 2040 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 85651289460 in words is "eighty-five billion, six hundred fifty-one million, two hundred eighty-nine thousand, four hundred sixty".