85660489200000 has 4608 divisors, whose sum is σ = 369563146444800. Its totient is φ = 17360179200000.

The previous prime is 85660489199939. The next prime is 85660489200059. The reversal of 85660489200000 is 298406658.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 1822563599977 + ... + 1822563600023.

It is an arithmetic number, because the mean of its divisors is an integer number (80200335600).

Almost surely, 2^{85660489200000} is an apocalyptic number.

85660489200000 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 85660489200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184781573222400).

85660489200000 is an abundant number, since it is smaller than the sum of its proper divisors (283902657244800).

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

85660489200000 is a wasteful number, since it uses less digits than its factorization.

85660489200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The spelling of 85660489200000 in words is "eighty-five trillion, six hundred sixty billion, four hundred eighty-nine million, two hundred thousand".