900992032200 has 324 divisors, whose sum is σ = 3278397115305. Its totient is φ = 221653785600.

The previous prime is 900992032153. The next prime is 900992032211. The reversal of 900992032200 is 2230299009.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 14 ways, for example, as 70659209124 + 830332823076 = 265818^2 + 911226^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=671190.

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

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 523527340 + ... + 523529060.

Almost surely, 2^900992032200 is an apocalyptic number.

900992032200 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 900992032200

900992032200 is an abundant number, since it is smaller than the sum of its proper divisors (2377405083105).

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

900992032200 is a wasteful number, since it uses less digits than its factorization.

900992032200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3490 (or 1744 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The spelling of 900992032200 in words is "nine hundred billion, nine hundred ninety-two million, thirty-two thousand, two hundred".