85887304452 has 120 divisors (see below), whose sum is σ = 232434417600. Its totient is φ = 27622171584.

The previous prime is 85887304403. The next prime is 85887304453. The reversal of 85887304452 is 25440378858.

85887304452 is a `hidden beast` number, since 8 + 588 + 7 + 3 + 0 + 4 + 4 + 52 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (85887304453) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 19156203 + ... + 19160685.

It is an arithmetic number, because the mean of its divisors is an integer number (1936953480).

Almost surely, 2^85887304452 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 85887304452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116217208800).

85887304452 is an abundant number, since it is smaller than the sum of its proper divisors (146547113148).

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

85887304452 is a wasteful number, since it uses less digits than its factorization.

85887304452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6567 (or 6556 counting only the distinct ones).

The product of its (nonzero) digits is 8601600, while the sum is 54.

The spelling of 85887304452 in words is "eighty-five billion, eight hundred eighty-seven million, three hundred four thousand, four hundred fifty-two".