90360360000 has 525 divisors, whose sum is σ = 336729648739. Its totient is φ = 23951808000.

The previous prime is 90360359989. The next prime is 90360360019. The reversal of 90360360000 is 6306309.

The square root of 90360360000 is 300600.

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

It can be written as a sum of positive squares in 2 ways, for example, as 7084252224 + 83276107776 = 84168^2 + 288576^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 541079917 + ... + 541080083.

Almost surely, 2^90360360000 is an apocalyptic number.

90360360000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

90360360000 is the 300600-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90360360000

90360360000 is an abundant number, since it is smaller than the sum of its proper divisors (246369288739).

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

90360360000 is an frugal number, since it uses more digits than its factorization.

90360360000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Multiplying 90360360000 by its product of nonzero digits (2916), we get a square (263490809760000 = 16232400²).

Adding to 90360360000 its reverse (6306309), we get a palindrome (90366666309).

The spelling of 90360360000 in words is "ninety billion, three hundred sixty million, three hundred sixty thousand".