900819223200 has 432 divisors, whose sum is σ = 3425367699936. Its totient is φ = 221448038400.

The previous prime is 900819223177. The next prime is 900819223231. The reversal of 900819223200 is 2322918009.

It is a super-3 number, since 3×900819223200³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 71 ways as a sum of consecutive naturals, for example, 75903667 + ... + 75915533.

It is an arithmetic number, because the mean of its divisors is an integer number (7929091898).

Almost surely, 2^900819223200 is an apocalyptic number.

900819223200 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 900819223200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1712683849968).

900819223200 is an abundant number, since it is smaller than the sum of its proper divisors (2524548476736).

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

900819223200 is a wasteful number, since it uses less digits than its factorization.

900819223200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12717 (or 12701 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 900819223200 in words is "nine hundred billion, eight hundred nineteen million, two hundred twenty-three thousand, two hundred".