21807667075488 has 144 divisors (see below), whose sum is σ = 66613740621120. Its totient is φ = 6228659426304.

The previous prime is 21807667075471. The next prime is 21807667075499. The reversal of 21807667075488 is 88457076670812.

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, 13185445 + ... + 14746907.

It is an arithmetic number, because the mean of its divisors is an integer number (462595420980).

Almost surely, 2^{21807667075488} is an apocalyptic number.

21807667075488 is a gapful number since it is divisible by the number (28) 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 21807667075488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33306870310560).

21807667075488 is an abundant number, since it is smaller than the sum of its proper divisors (44806073545632).

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

21807667075488 is a wasteful number, since it uses less digits than its factorization.

21807667075488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1564459 (or 1564444 counting only the distinct ones).

The product of its (nonzero) digits is 252887040, while the sum is 69.

The spelling of 21807667075488 in words is "twenty-one trillion, eight hundred seven billion, six hundred sixty-seven million, seventy-five thousand, four hundred eighty-eight".