89679052800 has 1080 divisors, whose sum is σ = 359390028816. Its totient is φ = 22083010560.

The previous prime is 89679052789. The next prime is 89679052861. The reversal of 89679052800 is 825097698.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a super-2 number, since 2×89679052800² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1692057574 + ... + 1692057626.

Almost surely, 2^89679052800 is an apocalyptic number.

89679052800 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 89679052800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179695014408).

89679052800 is an abundant number, since it is smaller than the sum of its proper divisors (269710976016).

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

89679052800 is an equidigital number, since it uses as much as digits as its factorization.

89679052800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 89679052800 in words is "eighty-nine billion, six hundred seventy-nine million, fifty-two thousand, eight hundred".