21233292410880 has 3456 divisors, whose sum is σ = 94974249517056. Its totient is φ = 4484549836800.

The previous prime is 21233292410867. The next prime is 21233292410929. The reversal of 21233292410880 is 8801429233212.

21233292410880 is a `hidden beast` number, since 2 + 1 + 2 + 3 + 329 + 241 + 0 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 684944916465 + ... + 684944916495.

It is an arithmetic number, because the mean of its divisors is an integer number (27480974976).

Almost surely, 2^{21233292410880} is an apocalyptic number.

21233292410880 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 21233292410880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47487124758528).

21233292410880 is an abundant number, since it is smaller than the sum of its proper divisors (73740957106176).

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

21233292410880 is an equidigital number, since it uses as much as digits as its factorization.

21233292410880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 21233292410880 in words is "twenty-one trillion, two hundred thirty-three billion, two hundred ninety-two million, four hundred ten thousand, eight hundred eighty".