90005126400 has 1080 divisors, whose sum is σ = 402979832640. Its totient is φ = 19349176320.

The previous prime is 90005126381. The next prime is 90005126443. The reversal of 90005126400 is 462150009.

90005126400 is a `hidden beast` number, since 9 + 0 + 0 + 0 + 5 + 12 + 640 + 0 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 61688871 + ... + 61690329.

Almost surely, 2^90005126400 is an apocalyptic number.

90005126400 is a gapful number since it is divisible by the number (90) 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 90005126400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201489916320).

90005126400 is an abundant number, since it is smaller than the sum of its proper divisors (312974706240).

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

90005126400 is a wasteful number, since it uses less digits than its factorization.

90005126400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1521 (or 1493 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 90005126400 its reverse (462150009), we get a palindrome (90467276409).

The spelling of 90005126400 in words is "ninety billion, five million, one hundred twenty-six thousand, four hundred".