21288960000 has 1200 divisors, whose sum is σ = 98269543680. Its totient is φ = 4423680000.

The previous prime is 21288959987. The next prime is 21288960013. The reversal of 21288960000 is 6988212.

21288960000 is a `hidden beast` number, since 21 + 28 + 8 + 9 + 600 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (21288959987) and next prime (21288960013).

It is a tau number, because it is divible by the number of its divisors (1200).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1935359995 + ... + 1935360005.

Almost surely, 2^21288960000 is an apocalyptic number.

21288960000 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 21288960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49134771840).

21288960000 is an abundant number, since it is smaller than the sum of its proper divisors (76980583680).

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

21288960000 is an frugal number, since it uses more digits than its factorization.

21288960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 21288960000 in words is "twenty-one billion, two hundred eighty-eight million, nine hundred sixty thousand".