21152210264514 has 128 divisors (see below), whose sum is σ = 53940866918400. Its totient is φ = 6018663424320.

The previous prime is 21152210264443. The next prime is 21152210264539. The reversal of 21152210264514 is 41546201225112.

21152210264514 is a `hidden beast` number, since 2 + 1 + 1 + 5 + 2 + 2 + 1 + 0 + 2 + 645 + 1 + 4 = 666.

It is a super-2 number, since 2×21152210264514² (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 (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 136973157 + ... + 137127495.

It is an arithmetic number, because the mean of its divisors is an integer number (421413022800).

Almost surely, 2^{21152210264514} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21152210264514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26970433459200).

21152210264514 is an abundant number, since it is smaller than the sum of its proper divisors (32788656653886).

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

21152210264514 is a wasteful number, since it uses less digits than its factorization.

21152210264514 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155845 (or 155839 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

Adding to 21152210264514 its reverse (41546201225112), we get a palindrome (62698411489626).

The spelling of 21152210264514 in words is "twenty-one trillion, one hundred fifty-two billion, two hundred ten million, two hundred sixty-four thousand, five hundred fourteen".