89824298444000 has 192 divisors, whose sum is σ = 226639781222400. Its totient is φ = 34975257408000.

The previous prime is 89824298443897. The next prime is 89824298444009. The reversal of 89824298444000 is 44489242898.

89824298444000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×89824298444000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89824298444009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20434211 + ... + 24437789.

It is an arithmetic number, because the mean of its divisors is an integer number (1180415527200).

Almost surely, 2^{89824298444000} is an apocalyptic number.

89824298444000 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 89824298444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113319890611200).

89824298444000 is an abundant number, since it is smaller than the sum of its proper divisors (136815482778400).

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

89824298444000 is a wasteful number, since it uses less digits than its factorization.

89824298444000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4003754 (or 4003736 counting only the distinct ones).

The product of its (nonzero) digits is 42467328, while the sum is 62.

The spelling of 89824298444000 in words is "eighty-nine trillion, eight hundred twenty-four billion, two hundred ninety-eight million, four hundred forty-four thousand".