85525067495340 has 1536 divisors, whose sum is σ = 323600417280000. Its totient is φ = 18517121925120.

The previous prime is 85525067495291. The next prime is 85525067495353. The reversal of 85525067495340 is 4359476052558.

85525067495340 is a `hidden beast` number, since 8 + 5 + 5 + 2 + 50 + 6 + 7 + 49 + 534 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 39723671704 + ... + 39723673856.

It is an arithmetic number, because the mean of its divisors is an integer number (210677355000).

Almost surely, 2^{85525067495340} 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 85525067495340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161800208640000).

85525067495340 is an abundant number, since it is smaller than the sum of its proper divisors (238075349784660).

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

85525067495340 is a wasteful number, since it uses less digits than its factorization.

85525067495340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2512 (or 2504 counting only the distinct ones).

The product of its (nonzero) digits is 181440000, while the sum is 63.

The spelling of 85525067495340 in words is "eighty-five trillion, five hundred twenty-five billion, sixty-seven million, four hundred ninety-five thousand, three hundred forty".