21233510400 has 144 divisors (see below), whose sum is σ = 70195507200. Its totient is φ = 5662228480.

The previous prime is 21233510387. The next prime is 21233510443. The reversal of 21233510400 is 401533212.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 84481 + ... + 222719.

It is an arithmetic number, because the mean of its divisors is an integer number (487468800).

Almost surely, 2^21233510400 is an apocalyptic number.

21233510400 is a gapful number since it is divisible by the number (20) 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 21233510400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35097753600).

21233510400 is an abundant number, since it is smaller than the sum of its proper divisors (48961996800).

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

21233510400 is a wasteful number, since it uses less digits than its factorization.

21233510400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138274 (or 138249 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The spelling of 21233510400 in words is "twenty-one billion, two hundred thirty-three million, five hundred ten thousand, four hundred".