85661753632 has 96 divisors (see below), whose sum is σ = 209470060800. Its totient is φ = 33577141248.

The previous prime is 85661753629. The next prime is 85661753663. The reversal of 85661753632 is 23635716658.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a self number, because there is not a number n which added to its sum of digits gives 85661753632.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 182469 + ... + 452347.

It is an arithmetic number, because the mean of its divisors is an integer number (2181979800).

Almost surely, 2^85661753632 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 85661753632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104735030400).

85661753632 is an abundant number, since it is smaller than the sum of its proper divisors (123808307168).

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

85661753632 is a wasteful number, since it uses less digits than its factorization.

85661753632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270018 (or 270010 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 52.

The spelling of 85661753632 in words is "eighty-five billion, six hundred sixty-one million, seven hundred fifty-three thousand, six hundred thirty-two".