90027417600 has 756 divisors, whose sum is σ = 339862517124. Its totient is φ = 23648993280.

The previous prime is 90027417583. The next prime is 90027417607. The reversal of 90027417600 is 671472009.

It is a happy number.

90027417600 is a `hidden beast` number, since 9 + 0 + 0 + 2 + 7 + 41 + 7 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90027417607) by changing a digit.

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 53 ways as a sum of consecutive naturals, for example, 1343692767 + ... + 1343692833.

Almost surely, 2^90027417600 is an apocalyptic number.

90027417600 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 90027417600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169931258562).

90027417600 is an abundant number, since it is smaller than the sum of its proper divisors (249835099524).

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

90027417600 is an frugal number, since it uses more digits than its factorization.

90027417600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

Adding to 90027417600 its reverse (671472009), we get a palindrome (90698889609).

The spelling of 90027417600 in words is "ninety billion, twenty-seven million, four hundred seventeen thousand, six hundred".