89994633120 has 384 divisors, whose sum is σ = 360448704000. Its totient is φ = 20543348736.

The previous prime is 89994633083. The next prime is 89994633161. The reversal of 89994633120 is 2133649998.

89994633120 is a `hidden beast` number, since 89 + 99 + 463 + 3 + 12 + 0 = 666.

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

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, 31720342 + ... + 31723178.

It is an arithmetic number, because the mean of its divisors is an integer number (938668500).

Almost surely, 2^89994633120 is an apocalyptic number.

89994633120 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 89994633120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180224352000).

89994633120 is an abundant number, since it is smaller than the sum of its proper divisors (270454070880).

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

89994633120 is a wasteful number, since it uses less digits than its factorization.

89994633120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3917 (or 3903 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 89994633120 in words is "eighty-nine billion, nine hundred ninety-four million, six hundred thirty-three thousand, one hundred twenty".