900261520200 has 576 divisors, whose sum is σ = 3603672683520. Its totient is φ = 197074944000.

The previous prime is 900261520181. The next prime is 900261520211. The reversal of 900261520200 is 2025162009.

900261520200 is a `hidden beast` number, since 9 + 0 + 0 + 2 + 615 + 20 + 20 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 37876320 + ... + 37900080.

Almost surely, 2^900261520200 is an apocalyptic number.

900261520200 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 900261520200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1801836341760).

900261520200 is an abundant number, since it is smaller than the sum of its proper divisors (2703411163320).

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

900261520200 is a wasteful number, since it uses less digits than its factorization.

900261520200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23918 (or 23906 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 900261520200 its reverse (2025162009), we get a palindrome (902286682209).

The spelling of 900261520200 in words is "nine hundred billion, two hundred sixty-one million, five hundred twenty thousand, two hundred".