89844915072 has 256 divisors, whose sum is σ = 269114711040. Its totient is φ = 26320896000.

The previous prime is 89844915059. The next prime is 89844915091. The reversal of 89844915072 is 27051944898.

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, 19567497 + ... + 19572087.

It is an arithmetic number, because the mean of its divisors is an integer number (1051229340).

Almost surely, 2^89844915072 is an apocalyptic number.

89844915072 is a gapful number since it is divisible by the number (82) 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 89844915072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134557355520).

89844915072 is an abundant number, since it is smaller than the sum of its proper divisors (179269795968).

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

89844915072 is a wasteful number, since it uses less digits than its factorization.

89844915072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4773 (or 4761 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 57.

The spelling of 89844915072 in words is "eighty-nine billion, eight hundred forty-four million, nine hundred fifteen thousand, seventy-two".