21343401600 has 192 divisors, whose sum is σ = 70726098240. Its totient is φ = 5657067520.

The previous prime is 21343401559. The next prime is 21343401617. The reversal of 21343401600 is 610434312.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1596544 + ... + 1609856.

It is an arithmetic number, because the mean of its divisors is an integer number (368365095).

Almost surely, 2^21343401600 is an apocalyptic number.

21343401600 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 21343401600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35363049120).

21343401600 is an abundant number, since it is smaller than the sum of its proper divisors (49382696640).

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

21343401600 is a wasteful number, since it uses less digits than its factorization.

21343401600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13507 (or 13490 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 21343401600 its reverse (610434312), we get a palindrome (21953835912).

The spelling of 21343401600 in words is "twenty-one billion, three hundred forty-three million, four hundred one thousand, six hundred".