21810096000 has 1152 divisors, whose sum is σ = 99750100320. Its totient is φ = 4515840000.

The previous prime is 21810095971. The next prime is 21810096019. The reversal of 21810096000 is 69001812.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 77615860 + ... + 77616140.

Almost surely, 2^21810096000 is an apocalyptic number.

21810096000 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 21810096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49875050160).

21810096000 is an abundant number, since it is smaller than the sum of its proper divisors (77940004320).

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

21810096000 is a wasteful number, since it uses less digits than its factorization.

21810096000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

Adding to 21810096000 its reverse (69001812), we get a palindrome (21879097812).

The spelling of 21810096000 in words is "twenty-one billion, eight hundred ten million, ninety-six thousand".