89869116480 has 672 divisors, whose sum is σ = 346424024448. Its totient is φ = 19552665600.

The previous prime is 89869116473. The next prime is 89869116497. The reversal of 89869116480 is 8461196898.

It is a Harshad number since it is a multiple of its sum of digits (60).

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 95 ways as a sum of consecutive naturals, for example, 66031000 + ... + 66032360.

Almost surely, 2^89869116480 is an apocalyptic number.

89869116480 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 89869116480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173212012224).

89869116480 is an abundant number, since it is smaller than the sum of its proper divisors (256554907968).

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

89869116480 is a wasteful number, since it uses less digits than its factorization.

89869116480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1455 (or 1432 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 60.

The spelling of 89869116480 in words is "eighty-nine billion, eight hundred sixty-nine million, one hundred sixteen thousand, four hundred eighty".