89533160640 has 1008 divisors, whose sum is σ = 394589898144. Its totient is φ = 18424627200.

The previous prime is 89533160597. The next prime is 89533160671. The reversal of 89533160640 is 4606133598.

89533160640 is a `hidden beast` number, since 8 + 9 + 5 + 3 + 31 + 606 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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 (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 212667630 + ... + 212668050.

Almost surely, 2^89533160640 is an apocalyptic number.

89533160640 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 89533160640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197294949072).

89533160640 is an abundant number, since it is smaller than the sum of its proper divisors (305056737504).

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

89533160640 is a wasteful number, since it uses less digits than its factorization.

89533160640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 89533160640 in words is "eighty-nine billion, five hundred thirty-three million, one hundred sixty thousand, six hundred forty".