85461652584 has 128 divisors (see below), whose sum is σ = 295971148800. Its totient is φ = 22197827520.

The previous prime is 85461652553. The next prime is 85461652651. The reversal of 85461652584 is 48525616458.

85461652584 is a `hidden beast` number, since 8 + 5 + 4 + 6 + 1 + 6 + 52 + 584 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 85461652584.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2552562 + ... + 2585825.

It is an arithmetic number, because the mean of its divisors is an integer number (2312274600).

Almost surely, 2^85461652584 is an apocalyptic number.

85461652584 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

85461652584 is an abundant number, since it is smaller than the sum of its proper divisors (210509496216).

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

85461652584 is a wasteful number, since it uses less digits than its factorization.

85461652584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5138420 (or 5138410 counting only the distinct ones).

The product of its digits is 9216000, while the sum is 54.

The spelling of 85461652584 in words is "eighty-five billion, four hundred sixty-one million, six hundred fifty-two thousand, five hundred eighty-four".