89894839910400 has 1872 divisors, whose sum is σ = 388946863820880. Its totient is φ = 20547391979520.

The previous prime is 89894839910387. The next prime is 89894839910417. The reversal of 89894839910400 is 401993849898.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Jordan-Polya number, since it can be written as 9! ⋅ 8! ⋅ 4! ⋅ (2!)⁸.

89894839910400 is a `hidden beast` number, since 8 + 9 + 8 + 9 + 483 + 99 + 10 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12842119987197 + ... + 12842119987203.

Almost surely, 2^{89894839910400} is an apocalyptic number.

89894839910400 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 89894839910400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194473431910440).

89894839910400 is an abundant number, since it is smaller than the sum of its proper divisors (299052023910480).

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

89894839910400 is an frugal number, since it uses more digits than its factorization.

89894839910400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 161243136, while the sum is 72.

The spelling of 89894839910400 in words is "eighty-nine trillion, eight hundred ninety-four billion, eight hundred thirty-nine million, nine hundred ten thousand, four hundred".