21072933288 has 384 divisors, whose sum is σ = 69436224000. Its totient is φ = 5700119040.

The previous prime is 21072933239. The next prime is 21072933311. The reversal of 21072933288 is 88233927012.

21072933288 is a `hidden beast` number, since 210 + 7 + 29 + 332 + 88 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18764295 + ... + 18765417.

It is an arithmetic number, because the mean of its divisors is an integer number (180823500).

Almost surely, 2^21072933288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21072933288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34718112000).

21072933288 is an abundant number, since it is smaller than the sum of its proper divisors (48363290712).

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

21072933288 is a wasteful number, since it uses less digits than its factorization.

21072933288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1237 (or 1230 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 21072933288 in words is "twenty-one billion, seventy-two million, nine hundred thirty-three thousand, two hundred eighty-eight".