900238060800 has 864 divisors, whose sum is σ = 3651429071360. Its totient is φ = 215588044800.

The previous prime is 900238060781. The next prime is 900238060801. The reversal of 900238060800 is 8060832009.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×900238060800² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (900238060801) 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, 83111385 + ... + 83122215.

Almost surely, 2^900238060800 is an apocalyptic number.

900238060800 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 900238060800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1825714535680).

900238060800 is an abundant number, since it is smaller than the sum of its proper divisors (2751191010560).

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

900238060800 is a wasteful number, since it uses less digits than its factorization.

900238060800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10916 (or 10891 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

Adding to 900238060800 its reverse (8060832009), we get a palindrome (908298892809).

The spelling of 900238060800 in words is "nine hundred billion, two hundred thirty-eight million, sixty thousand, eight hundred".