21615560124000 has 192 divisors, whose sum is σ = 70816035955392. Its totient is φ = 5763867648000.

The previous prime is 21615560123981. The next prime is 21615560124017. The reversal of 21615560124000 is 42106551612.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 388064152 + ... + 388119848.

It is an arithmetic number, because the mean of its divisors is an integer number (368833520601).

Almost surely, 2^{21615560124000} is an apocalyptic number.

21615560124000 is a gapful number since it is divisible by the number (20) 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 21615560124000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35408017977696).

21615560124000 is an abundant number, since it is smaller than the sum of its proper divisors (49200475831392).

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

21615560124000 is a wasteful number, since it uses less digits than its factorization.

21615560124000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88066 (or 88048 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

Adding to 21615560124000 its reverse (42106551612), we get a palindrome (21657666675612).

The spelling of 21615560124000 in words is "twenty-one trillion, six hundred fifteen billion, five hundred sixty million, one hundred twenty-four thousand".