21888082465920 has 2048 divisors, whose sum is σ = 89338761216000. Its totient is φ = 5121485107200.

The previous prime is 21888082465897. The next prime is 21888082466011. The reversal of 21888082465920 is 2956428088812.

21888082465920 is a `hidden beast` number, since 2 + 1 + 8 + 8 + 8 + 0 + 82 + 465 + 92 + 0 = 666.

It is a super-2 number, since 2×21888082465920² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 57752196291 + ... + 57752196669.

It is an arithmetic number, because the mean of its divisors is an integer number (43622442000).

Almost surely, 2^{21888082465920} is an apocalyptic number.

21888082465920 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 21888082465920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44669380608000).

21888082465920 is an abundant number, since it is smaller than the sum of its proper divisors (67450678750080).

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

21888082465920 is an frugal number, since it uses more digits than its factorization.

21888082465920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 35389440, while the sum is 63.

The spelling of 21888082465920 in words is "twenty-one trillion, eight hundred eighty-eight billion, eighty-two million, four hundred sixty-five thousand, nine hundred twenty".