21507945118011 has 24 divisors (see below), whose sum is σ = 33892813983600. Its totient is φ = 13034538820800.

The previous prime is 21507945118001. The next prime is 21507945118039. The reversal of 21507945118011 is 11081154970512.

21507945118011 is a `hidden beast` number, since 2 + 1 + 5 + 0 + 7 + 9 + 451 + 180 + 11 = 666.

It is not a de Polignac number, because 21507945118011 - 2¹⁴ = 21507945101627 is a prime.

It is a super-2 number, since 2×21507945118011² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21507945118001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2584980 + ... + 7049681.

It is an arithmetic number, because the mean of its divisors is an integer number (1412200582650).

Almost surely, 2^{21507945118011} is an apocalyptic number.

21507945118011 is a deficient number, since it is larger than the sum of its proper divisors (12384868865589).

21507945118011 is a wasteful number, since it uses less digits than its factorization.

21507945118011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9657227 (or 9657224 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 45.

The spelling of 21507945118011 in words is "twenty-one trillion, five hundred seven billion, nine hundred forty-five million, one hundred eighteen thousand, eleven".