89914388584320 has 512 divisors, whose sum is σ = 346766054400000. Its totient is φ = 21931928395776.

The previous prime is 89914388584309. The next prime is 89914388584343. The reversal of 89914388584320 is 2348588341998.

89914388584320 is a `hidden beast` number, since 8 + 9 + 9 + 1 + 4 + 3 + 8 + 8 + 584 + 32 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4799521 + ... + 14243039.

It is an arithmetic number, because the mean of its divisors is an integer number (677277450000).

Almost surely, 2^{89914388584320} is an apocalyptic number.

89914388584320 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 89914388584320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173383027200000).

89914388584320 is an abundant number, since it is smaller than the sum of its proper divisors (256851665815680).

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

89914388584320 is a wasteful number, since it uses less digits than its factorization.

89914388584320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9443595 (or 9443577 counting only the distinct ones).

The product of its (nonzero) digits is 477757440, while the sum is 72.

The spelling of 89914388584320 in words is "eighty-nine trillion, nine hundred fourteen billion, three hundred eighty-eight million, five hundred eighty-four thousand, three hundred twenty".