89913633998400 has 567 divisors, whose sum is σ = 330345274186083. Its totient is φ = 23194415462400.

The previous prime is 89913633998329. The next prime is 89913633998423. The reversal of 89913633998400 is 489933631998.

The square root of 89913633998400 is 9482280.

It is a perfect power (a square), and thus also a powerful number.

89913633998400 is a `hidden beast` number, since 8 + 99 + 13 + 6 + 3 + 39 + 98 + 400 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11474695554624 + 78438938443776 = 3387432^2 + 8856576^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 35274080326 + ... + 35274082874.

Almost surely, 2^{89913633998400} is an apocalyptic number.

89913633998400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

89913633998400 is the 9482280-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89913633998400

89913633998400 is an abundant number, since it is smaller than the sum of its proper divisors (240431640187683).

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

89913633998400 is an equidigital number, since it uses as much as digits as its factorization.

89913633998400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5188 (or 2590 counting only the distinct ones).

The product of its (nonzero) digits is 272097792, while the sum is 72.

The spelling of 89913633998400 in words is "eighty-nine trillion, nine hundred thirteen billion, six hundred thirty-three million, nine hundred ninety-eight thousand, four hundred".