21264336969600 has 384 divisors, whose sum is σ = 71286515942400. Its totient is φ = 5570252513280.

The previous prime is 21264336969599. The next prime is 21264336969683. The reversal of 21264336969600 is 696963346212.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×21264336969600² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 149333637 + ... + 149475963.

It is an arithmetic number, because the mean of its divisors is an integer number (185641968600).

Almost surely, 2^{21264336969600} is an apocalyptic number.

21264336969600 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 21264336969600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35643257971200).

21264336969600 is an abundant number, since it is smaller than the sum of its proper divisors (50022178972800).

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

21264336969600 is a wasteful number, since it uses less digits than its factorization.

21264336969600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142630 (or 142613 counting only the distinct ones).

The product of its (nonzero) digits is 15116544, while the sum is 57.

The spelling of 21264336969600 in words is "twenty-one trillion, two hundred sixty-four billion, three hundred thirty-six million, nine hundred sixty-nine thousand, six hundred".