21068294400 has 1296 divisors, whose sum is σ = 88567664640. Its totient is φ = 4926873600.

The previous prime is 21068294389. The next prime is 21068294437. The reversal of 21068294400 is 449286012.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 679622385 + ... + 679622415.

Almost surely, 2^21068294400 is an apocalyptic number.

21068294400 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 21068294400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44283832320).

21068294400 is an abundant number, since it is smaller than the sum of its proper divisors (67499370240).

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

21068294400 is a wasteful number, since it uses less digits than its factorization.

21068294400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 21068294400 in words is "twenty-one billion, sixty-eight million, two hundred ninety-four thousand, four hundred".