89914816320 has 896 divisors, whose sum is σ = 354725167104. Its totient is φ = 18853502976.

The previous prime is 89914816301. The next prime is 89914816333. The reversal of 89914816320 is 2361841998.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 551624559 + ... + 551624721.

It is an arithmetic number, because the mean of its divisors is an integer number (395898624).

Almost surely, 2^89914816320 is an apocalyptic number.

89914816320 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 89914816320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177362583552).

89914816320 is an abundant number, since it is smaller than the sum of its proper divisors (264810350784).

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

89914816320 is a wasteful number, since it uses less digits than its factorization.

89914816320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 51.

The spelling of 89914816320 in words is "eighty-nine billion, nine hundred fourteen million, eight hundred sixteen thousand, three hundred twenty".