21542500524512 has 96 divisors (see below), whose sum is σ = 46623109456224. Its totient is φ = 9716821811200.

The previous prime is 21542500524497. The next prime is 21542500524527.

21542500524512 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (21542500524497) and next prime (21542500524527).

It is a super-2 number, since 2×21542500524512² (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, 126888962 + ... + 127058622.

It is an arithmetic number, because the mean of its divisors is an integer number (485657390169).

Almost surely, 2^{21542500524512} is an apocalyptic number.

21542500524512 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21542500524512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23311554728112).

21542500524512 is an abundant number, since it is smaller than the sum of its proper divisors (25080608931712).

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

21542500524512 is a wasteful number, since it uses less digits than its factorization.

21542500524512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172452 (or 172444 counting only the distinct ones).

The product of its (nonzero) digits is 160000, while the sum is 38.

The spelling of 21542500524512 in words is "twenty-one trillion, five hundred forty-two billion, five hundred million, five hundred twenty-four thousand, five hundred twelve".