89185626816 has 672 divisors, whose sum is σ = 292758595584. Its totient is φ = 23782809600.

The previous prime is 89185626811. The next prime is 89185626833. The reversal of 89185626816 is 61862658198.

Its product of digits (9953280) is a multiple of the sum of its prime divisors (240).

It is a self number, because there is not a number n which added to its sum of digits gives 89185626816.

It is not an unprimeable number, because it can be changed into a prime (89185626811) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 865879821 + ... + 865879923.

It is an arithmetic number, because the mean of its divisors is an integer number (435652672).

Almost surely, 2^89185626816 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 89185626816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146379297792).

89185626816 is an abundant number, since it is smaller than the sum of its proper divisors (203572968768).

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

89185626816 is a wasteful number, since it uses less digits than its factorization.

89185626816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 240 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 60.

The spelling of 89185626816 in words is "eighty-nine billion, one hundred eighty-five million, six hundred twenty-six thousand, eight hundred sixteen".