85988514533376 has 624 divisors, whose sum is σ = 300425868273024. Its totient is φ = 21344211173376.

The previous prime is 85988514533371. The next prime is 85988514533407. The reversal of 85988514533376 is 67333541588958.

It is a tau number, because it is divible by the number of its divisors (624).

It is a junction number, because it is equal to n+sod(n) for n = 85988514533298 and 85988514533307.

It is not an unprimeable number, because it can be changed into a prime (85988514533371) 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 47 ways as a sum of consecutive naturals, for example, 246949990 + ... + 247297946.

It is an arithmetic number, because the mean of its divisors is an integer number (481451711976).

Almost surely, 2^{85988514533376} 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 85988514533376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150212934136512).

85988514533376 is an abundant number, since it is smaller than the sum of its proper divisors (214437353739648).

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

85988514533376 is a wasteful number, since it uses less digits than its factorization.

85988514533376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348034 (or 347999 counting only the distinct ones).

The product of its digits is 2612736000, while the sum is 75.

The spelling of 85988514533376 in words is "eighty-five trillion, nine hundred eighty-eight billion, five hundred fourteen million, five hundred thirty-three thousand, three hundred seventy-six".