89090310400 has 729 divisors, whose sum is σ = 284704162533. Its totient is φ = 27507916800.

The previous prime is 89090310371. The next prime is 89090310437. The reversal of 89090310400 is 401309098.

The square root of 89090310400 is 298480.

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

It can be written as a sum of positive squares in 13 ways, for example, as 80737812736 + 8352497664 = 284144^2 + 91392^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2172934380 + ... + 2172934420.

Almost surely, 2^89090310400 is an apocalyptic number.

89090310400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

89090310400 is the 298480-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89090310400

89090310400 is an abundant number, since it is smaller than the sum of its proper divisors (195613852133).

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

89090310400 is a wasteful number, since it uses less digits than its factorization.

89090310400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 34.

Adding to 89090310400 its reverse (401309098), we get a palindrome (89491619498).

The spelling of 89090310400 in words is "eighty-nine billion, ninety million, three hundred ten thousand, four hundred".