21564500546512 has 80 divisors (see below), whose sum is σ = 53153950608000. Its totient is φ = 8401753436160.

The previous prime is 21564500546443. The next prime is 21564500546521.

21564500546512 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×21564500546512² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 178548337 + ... + 178669072.

It is an arithmetic number, because the mean of its divisors is an integer number (664424382600).

Almost surely, 2^{21564500546512} is an apocalyptic number.

21564500546512 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21564500546512 is an abundant number, since it is smaller than the sum of its proper divisors (31589450061488).

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

21564500546512 is a wasteful number, since it uses less digits than its factorization.

21564500546512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357217449 (or 357217429 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 46.

The spelling of 21564500546512 in words is "twenty-one trillion, five hundred sixty-four billion, five hundred million, five hundred forty-six thousand, five hundred twelve".