21427610138500 has 48 divisors (see below), whose sum is σ = 46816205213232. Its totient is φ = 8567691552000.

The previous prime is 21427610138437. The next prime is 21427610138537. The reversal of 21427610138500 is 583101672412.

It can be written as a sum of positive squares in 8 ways, for example, as 12492676112004 + 8934934026496 = 3534498^2 + 2989136^2 .

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, 7101481 + ... + 9658480.

It is an arithmetic number, because the mean of its divisors is an integer number (975337608609).

Almost surely, 2^{21427610138500} is an apocalyptic number.

21427610138500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21427610138500 is an abundant number, since it is smaller than the sum of its proper divisors (25388595074732).

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

21427610138500 is a wasteful number, since it uses less digits than its factorization.

21427610138500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16762537 (or 16762525 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 40.

The spelling of 21427610138500 in words is "twenty-one trillion, four hundred twenty-seven billion, six hundred ten million, one hundred thirty-eight thousand, five hundred".