85486731264 has 480 divisors, whose sum is σ = 283970887200. Its totient is φ = 25480396800.

The previous prime is 85486731259. The next prime is 85486731329. The reversal of 85486731264 is 46213768458.

It is a happy number.

85486731264 is a `hidden beast` number, since 8 + 548 + 6 + 7 + 31 + 2 + 64 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 85486731264.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1401421794 + ... + 1401421854.

It is an arithmetic number, because the mean of its divisors is an integer number (591606015).

Almost surely, 2^85486731264 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 85486731264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141985443600).

85486731264 is an abundant number, since it is smaller than the sum of its proper divisors (198484155936).

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

85486731264 is an frugal number, since it uses more digits than its factorization.

85486731264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 77 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The spelling of 85486731264 in words is "eighty-five billion, four hundred eighty-six million, seven hundred thirty-one thousand, two hundred sixty-four".