85226854527360 has 1024 divisors, whose sum is σ = 380562977894400. Its totient is φ = 17543332823040.

The previous prime is 85226854527341. The next prime is 85226854527413. The reversal of 85226854527360 is 6372545862258.

85226854527360 is a `hidden beast` number, since 8 + 5 + 2 + 2 + 6 + 8 + 545 + 27 + 3 + 60 = 666.

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

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, 63810717 + ... + 65132643.

It is an arithmetic number, because the mean of its divisors is an integer number (371643533100).

Almost surely, 2^{85226854527360} is an apocalyptic number.

85226854527360 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 85226854527360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190281488947200).

85226854527360 is an abundant number, since it is smaller than the sum of its proper divisors (295336123367040).

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

85226854527360 is a wasteful number, since it uses less digits than its factorization.

85226854527360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1322016 (or 1321998 counting only the distinct ones).

The product of its (nonzero) digits is 193536000, while the sum is 63.

The spelling of 85226854527360 in words is "eighty-five trillion, two hundred twenty-six billion, eight hundred fifty-four million, five hundred twenty-seven thousand, three hundred sixty".