85460717445264 has 960 divisors, whose sum is σ = 320503326474240. Its totient is φ = 21472718561280.

The previous prime is 85460717445263. The next prime is 85460717445289. The reversal of 85460717445264 is 46254471706458.

85460717445264 is a `hidden beast` number, since 8 + 5 + 4 + 6 + 0 + 7 + 174 + 452 + 6 + 4 = 666.

85460717445264 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (85460717445263) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 415839397 + ... + 416044859.

It is an arithmetic number, because the mean of its divisors is an integer number (333857631744).

Almost surely, 2^{85460717445264} is an apocalyptic number.

85460717445264 is a gapful number since it is divisible by the number (84) 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 85460717445264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160251663237120).

85460717445264 is an abundant number, since it is smaller than the sum of its proper divisors (235042609028976).

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

85460717445264 is a wasteful number, since it uses less digits than its factorization.

85460717445264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205570 (or 205552 counting only the distinct ones).

The product of its (nonzero) digits is 180633600, while the sum is 63.

The spelling of 85460717445264 in words is "eighty-five trillion, four hundred sixty billion, seven hundred seventeen million, four hundred forty-five thousand, two hundred sixty-four".