900206052480 has 768 divisors, whose sum is σ = 3791040364800. Its totient is φ = 192249593856.

The previous prime is 900206052479. The next prime is 900206052481. The reversal of 900206052480 is 84250602009.

It is a happy number.

900206052480 is a `hidden beast` number, since 9 + 0 + 0 + 2 + 0 + 605 + 2 + 48 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (900206052479) and next prime (900206052481).

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

It is not an unprimeable number, because it can be changed into a prime (900206052481) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 55915792 + ... + 55931888.

It is an arithmetic number, because the mean of its divisors is an integer number (4936250475).

Almost surely, 2^900206052480 is an apocalyptic number.

900206052480 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 900206052480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1895520182400).

900206052480 is an abundant number, since it is smaller than the sum of its proper divisors (2890834312320).

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

900206052480 is a wasteful number, since it uses less digits than its factorization.

900206052480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16221 (or 16206 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Adding to 900206052480 its reverse (84250602009), we get a palindrome (984456654489).

The spelling of 900206052480 in words is "nine hundred billion, two hundred six million, fifty-two thousand, four hundred eighty".