21482319007872 has 320 divisors, whose sum is σ = 67602959424000. Its totient is φ = 6760757145600.

The previous prime is 21482319007859. The next prime is 21482319007943. The reversal of 21482319007872 is 27870091328412.

21482319007872 is a `hidden beast` number, since 2 + 1 + 482 + 3 + 1 + 90 + 0 + 7 + 8 + 72 = 666.

It is a super-2 number, since 2×21482319007872² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12362629 + ... + 13992827.

It is an arithmetic number, because the mean of its divisors is an integer number (211259248200).

Almost surely, 2^{21482319007872} 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 21482319007872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33801479712000).

21482319007872 is an abundant number, since it is smaller than the sum of its proper divisors (46120640416128).

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

21482319007872 is a wasteful number, since it uses less digits than its factorization.

21482319007872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1630297 (or 1630276 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 21482319007872 in words is "twenty-one trillion, four hundred eighty-two billion, three hundred nineteen million, seven thousand, eight hundred seventy-two".