89460472320 has 480 divisors, whose sum is σ = 321114675024. Its totient is φ = 23003136000.

The previous prime is 89460472313. The next prime is 89460472337. The reversal of 89460472320 is 2327406498.

89460472320 is a `hidden beast` number, since 8 + 9 + 4 + 604 + 7 + 2 + 32 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2118945024 + 87341527296 = 46032^2 + 295536^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×89460472320² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74487720 + ... + 74488920.

Almost surely, 2^89460472320 is an apocalyptic number.

89460472320 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 89460472320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160557337512).

89460472320 is an abundant number, since it is smaller than the sum of its proper divisors (231654202704).

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

89460472320 is a wasteful number, since it uses less digits than its factorization.

89460472320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1344 (or 1325 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 89460472320 in words is "eighty-nine billion, four hundred sixty million, four hundred seventy-two thousand, three hundred twenty".