89385448320 has 1536 divisors, whose sum is σ = 402921216000. Its totient is φ = 18306072576.

The previous prime is 89385448319. The next prime is 89385448387. The reversal of 89385448320 is 2384458398.

89385448320 is a `hidden beast` number, since 8 + 93 + 8 + 54 + 483 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1004330836 + ... + 1004330924.

It is an arithmetic number, because the mean of its divisors is an integer number (262318500).

Almost surely, 2^89385448320 is an apocalyptic number.

89385448320 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 89385448320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201460608000).

89385448320 is an abundant number, since it is smaller than the sum of its proper divisors (313535767680).

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

89385448320 is a wasteful number, since it uses less digits than its factorization.

89385448320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 89385448320 in words is "eighty-nine billion, three hundred eighty-five million, four hundred forty-eight thousand, three hundred twenty".