21124658728800 has 1728 divisors, whose sum is σ = 86308008433920. Its totient is φ = 4815562752000.

The previous prime is 21124658728787. The next prime is 21124658728879. The reversal of 21124658728800 is 882785642112.

21124658728800 is a `hidden beast` number, since 2 + 1 + 1 + 2 + 465 + 87 + 28 + 80 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 10546508599 + ... + 10546510601.

It is an arithmetic number, because the mean of its divisors is an integer number (49946764140).

Almost surely, 2^{21124658728800} is an apocalyptic number.

21124658728800 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 21124658728800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43154004216960).

21124658728800 is an abundant number, since it is smaller than the sum of its proper divisors (65183349705120).

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

21124658728800 is a wasteful number, since it uses less digits than its factorization.

21124658728800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2197 (or 2181 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 54.

The spelling of 21124658728800 in words is "twenty-one trillion, one hundred twenty-four billion, six hundred fifty-eight million, seven hundred twenty-eight thousand, eight hundred".