90297050130576 has 405 divisors, whose sum is σ = 262643706275769. Its totient is φ = 28959897897216.

The previous prime is 90297050130563. The next prime is 90297050130593. The reversal of 90297050130576 is 67503105079209.

The square root of 90297050130576 is 9502476.

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

90297050130576 is a `hidden beast` number, since 9 + 0 + 2 + 9 + 7 + 0 + 50 + 13 + 0 + 576 = 666.

It can be written as a sum of positive squares in only one way, i.e., 65094883059600 + 25202167070976 = 8068140^2 + 5020176^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 404919507201 + ... + 404919507423.

Almost surely, 2^{90297050130576} is an apocalyptic number.

90297050130576 is the 9502476-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90297050130576

90297050130576 is an abundant number, since it is smaller than the sum of its proper divisors (172346656145193).

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

90297050130576 is an equidigital number, since it uses as much as digits as its factorization.

90297050130576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 3572100, while the sum is 54.

The spelling of 90297050130576 in words is "ninety trillion, two hundred ninety-seven billion, fifty million, one hundred thirty thousand, five hundred seventy-six".