10233787200 has 504 divisors, whose sum is σ = 42073994592. Its totient is φ = 2158571520.

The previous prime is 10233787199. The next prime is 10233787237. The reversal of 10233787200 is 278733201.

It is a congruent number.

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, 3055927 + ... + 3059273.

It is an arithmetic number, because the mean of its divisors is an integer number (83480148).

Almost surely, 2^10233787200 is an apocalyptic number.

10233787200 is a gapful number since it is divisible by the number (10) 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 10233787200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21036997296).

10233787200 is an abundant number, since it is smaller than the sum of its proper divisors (31840207392).

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

10233787200 is a wasteful number, since it uses less digits than its factorization.

10233787200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3399 (or 3377 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The spelling of 10233787200 in words is "ten billion, two hundred thirty-three million, seven hundred eighty-seven thousand, two hundred".