89814996000 has 288 divisors, whose sum is σ = 319189223808. Its totient is φ = 23917939200.

The previous prime is 89814995947. The next prime is 89814996017. The reversal of 89814996000 is 69941898.

89814996000 is a `hidden beast` number, since 8 + 98 + 1 + 499 + 60 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×89814996000³ (a number of 34 digits) contains 333 as substring.

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, 38266827 + ... + 38269173.

It is an arithmetic number, because the mean of its divisors is an integer number (1108295916).

Almost surely, 2^89814996000 is an apocalyptic number.

89814996000 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 89814996000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159594611904).

89814996000 is an abundant number, since it is smaller than the sum of its proper divisors (229374227808).

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

89814996000 is a wasteful number, since it uses less digits than its factorization.

89814996000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3441 (or 3420 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The spelling of 89814996000 in words is "eighty-nine billion, eight hundred fourteen million, nine hundred ninety-six thousand".