85509457672752 has 120 divisors (see below), whose sum is σ = 240258689907600. Its totient is φ = 28390026921984.

The previous prime is 85509457672747. The next prime is 85509457672763. The reversal of 85509457672752 is 25727675490558.

85509457672752 is a `hidden beast` number, since 8 + 5 + 50 + 9 + 457 + 6 + 72 + 7 + 52 = 666.

85509457672752 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57361899 + ... + 58833717.

It is an arithmetic number, because the mean of its divisors is an integer number (2002155749230).

Almost surely, 2^{85509457672752} 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 85509457672752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120129344953800).

85509457672752 is an abundant number, since it is smaller than the sum of its proper divisors (154749232234848).

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

85509457672752 is a wasteful number, since it uses less digits than its factorization.

85509457672752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1473435 (or 1473426 counting only the distinct ones).

The product of its (nonzero) digits is 1481760000, while the sum is 72.

The spelling of 85509457672752 in words is "eighty-five trillion, five hundred nine billion, four hundred fifty-seven million, six hundred seventy-two thousand, seven hundred fifty-two".