90025312820 has 24 divisors (see below), whose sum is σ = 189069547464. Its totient is φ = 36007003136.

The previous prime is 90025312801. The next prime is 90025312823. The reversal of 90025312820 is 2821352009.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 45923632804 + 44101680016 = 214298^2 + 210004^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90025312823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48764 + ... + 427116.

It is an arithmetic number, because the mean of its divisors is an integer number (7877897811).

Almost surely, 2^90025312820 is an apocalyptic number.

It is an amenable number.

90025312820 is an abundant number, since it is smaller than the sum of its proper divisors (99044234644).

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

90025312820 is a wasteful number, since it uses less digits than its factorization.

90025312820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390259 (or 390257 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

Adding to 90025312820 its reverse (2821352009), we get a palindrome (92846664829).

The spelling of 90025312820 in words is "ninety billion, twenty-five million, three hundred twelve thousand, eight hundred twenty".