85889970616320 has 2304 divisors, whose sum is σ = 344245277376000. Its totient is φ = 19631201845248.

The previous prime is 85889970616201. The next prime is 85889970616321. The reversal of 85889970616320 is 2361607998858.

85889970616320 is a `hidden beast` number, since 8 + 588 + 9 + 9 + 7 + 0 + 6 + 1 + 6 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85889970616321) 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 191 ways as a sum of consecutive naturals, for example, 435989698462 + ... + 435989698658.

It is an arithmetic number, because the mean of its divisors is an integer number (149412012750).

Almost surely, 2^{85889970616320} is an apocalyptic number.

85889970616320 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 85889970616320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172122638688000).

85889970616320 is an abundant number, since it is smaller than the sum of its proper divisors (258355306759680).

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

85889970616320 is a wasteful number, since it uses less digits than its factorization.

85889970616320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 313528320, while the sum is 72.

The spelling of 85889970616320 in words is "eighty-five trillion, eight hundred eighty-nine billion, nine hundred seventy million, six hundred sixteen thousand, three hundred twenty".