21834202328400 has 960 divisors, whose sum is σ = 91874842490880. Its totient is φ = 4294226534400.

The previous prime is 21834202328383. The next prime is 21834202328401. The reversal of 21834202328400 is 482320243812.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21834202328401) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2129537674 + ... + 2129547926.

It is an arithmetic number, because the mean of its divisors is an integer number (95702960928).

Almost surely, 2^{21834202328400} is an apocalyptic number.

21834202328400 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 21834202328400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45937421245440).

21834202328400 is an abundant number, since it is smaller than the sum of its proper divisors (70040640162480).

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

21834202328400 is a wasteful number, since it uses less digits than its factorization.

21834202328400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11524 (or 11513 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 39.

The spelling of 21834202328400 in words is "twenty-one trillion, eight hundred thirty-four billion, two hundred two million, three hundred twenty-eight thousand, four hundred".