89617328640 has 320 divisors, whose sum is σ = 363805643520. Its totient is φ = 20483850240.

The previous prime is 89617328621. The next prime is 89617328681. The reversal of 89617328640 is 4682371698.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 391230 + ... + 576450.

It is an arithmetic number, because the mean of its divisors is an integer number (1136892636).

Almost surely, 2^89617328640 is an apocalyptic number.

89617328640 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 89617328640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181902821760).

89617328640 is an abundant number, since it is smaller than the sum of its proper divisors (274188314880).

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

89617328640 is a wasteful number, since it uses less digits than its factorization.

89617328640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185260 (or 185238 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 89617328640 in words is "eighty-nine billion, six hundred seventeen million, three hundred twenty-eight thousand, six hundred forty".