21158482375296 has 768 divisors, whose sum is σ = 73206911232000. Its totient is φ = 5739939127296.

The previous prime is 21158482375231. The next prime is 21158482375297. The reversal of 21158482375296 is 69257328485112.

It is a happy number.

21158482375296 is a `hidden beast` number, since 2 + 1 + 1 + 5 + 84 + 8 + 23 + 7 + 529 + 6 = 666.

It is a super-2 number, since 2×21158482375296² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (21158482375297) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2446911645 + ... + 2446920291.

It is an arithmetic number, because the mean of its divisors is an integer number (95321499000).

Almost surely, 2^{21158482375296} 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 21158482375296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36603455616000).

21158482375296 is an abundant number, since it is smaller than the sum of its proper divisors (52048428856704).

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

21158482375296 is a wasteful number, since it uses less digits than its factorization.

21158482375296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8909 (or 8894 counting only the distinct ones).

The product of its digits is 58060800, while the sum is 63.

The spelling of 21158482375296 in words is "twenty-one trillion, one hundred fifty-eight billion, four hundred eighty-two million, three hundred seventy-five thousand, two hundred ninety-six".