85661888000 has 320 divisors, whose sum is σ = 231913281600. Its totient is φ = 31371264000.

The previous prime is 85661887991. The next prime is 85661888017. The reversal of 85661888000 is 88816658.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a self number, because there is not a number n which added to its sum of digits gives 85661888000.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 123967655 + ... + 123968345.

It is an arithmetic number, because the mean of its divisors is an integer number (724729005).

Almost surely, 2^85661888000 is an apocalyptic number.

85661888000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85661888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115956640800).

85661888000 is an abundant number, since it is smaller than the sum of its proper divisors (146251393600).

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

85661888000 is a wasteful number, since it uses less digits than its factorization.

85661888000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 886 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 50.

The spelling of 85661888000 in words is "eighty-five billion, six hundred sixty-one million, eight hundred eighty-eight thousand".