89733830400 has 432 divisors, whose sum is σ = 334478279520. Its totient is φ = 23533977600.

The previous prime is 89733830399. The next prime is 89733830437. The reversal of 89733830400 is 403833798.

It is a happy number.

89733830400 is a `hidden beast` number, since 8 + 9 + 7 + 338 + 304 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10536544 + ... + 10545056.

Almost surely, 2^89733830400 is an apocalyptic number.

89733830400 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 89733830400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167239139760).

89733830400 is an abundant number, since it is smaller than the sum of its proper divisors (244744449120).

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

89733830400 is a wasteful number, since it uses less digits than its factorization.

89733830400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8609 (or 8584 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 89733830400 in words is "eighty-nine billion, seven hundred thirty-three million, eight hundred thirty thousand, four hundred".