90252280014400 has 945 divisors, whose sum is σ = 268313770658787. Its totient is φ = 29877497395200.

The previous prime is 90252280014367. The next prime is 90252280014431. The reversal of 90252280014400 is 441008225209.

The square root of 90252280014400 is 9500120.

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

It can be written as a sum of positive squares in 4 ways, for example, as 8567703660096 + 81684576354304 = 2927064^2 + 9037952^2 .

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 90252280014400.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 688948702335 + ... + 688948702465.

Almost surely, 2^{90252280014400} is an apocalyptic number.

90252280014400 is the 9500120-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90252280014400

90252280014400 is an abundant number, since it is smaller than the sum of its proper divisors (178061490644387).

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

90252280014400 is an frugal number, since it uses more digits than its factorization.

90252280014400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 37.

Adding to 90252280014400 its reverse (441008225209), we get a palindrome (90693288239609).

The spelling of 90252280014400 in words is "ninety trillion, two hundred fifty-two billion, two hundred eighty million, fourteen thousand, four hundred".