89234853120 has 576 divisors, whose sum is σ = 363281264640. Its totient is φ = 20318625792.

The previous prime is 89234853109. The next prime is 89234853133. The reversal of 89234853120 is 2135843298.

89234853120 is a `hidden beast` number, since 8 + 92 + 3 + 4 + 8 + 531 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×89234853120² (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 a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 83945709 + ... + 83946771.

It is an arithmetic number, because the mean of its divisors is an integer number (630696640).

Almost surely, 2^89234853120 is an apocalyptic number.

89234853120 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 89234853120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181640632320).

89234853120 is an abundant number, since it is smaller than the sum of its proper divisors (274046411520).

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

89234853120 is a wasteful number, since it uses less digits than its factorization.

89234853120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1447 (or 1427 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 89234853120 in words is "eighty-nine billion, two hundred thirty-four million, eight hundred fifty-three thousand, one hundred twenty".