21124603836792 has 160 divisors (see below), whose sum is σ = 62298909129600. Its totient is φ = 6669178514496.

The previous prime is 21124603836731. The next prime is 21124603836797. The reversal of 21124603836792 is 29763830642112.

21124603836792 is a `hidden beast` number, since 2 + 1 + 1 + 2 + 460 + 38 + 3 + 67 + 92 = 666.

It is a super-2 number, since 2×21124603836792² (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21124603836797) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 47141263 + ... + 47587265.

It is an arithmetic number, because the mean of its divisors is an integer number (389368182060).

Almost surely, 2^{21124603836792} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21124603836792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31149454564800).

21124603836792 is an abundant number, since it is smaller than the sum of its proper divisors (41174305292808).

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

21124603836792 is a wasteful number, since it uses less digits than its factorization.

21124603836792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449887 (or 449874 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 21124603836792 in words is "twenty-one trillion, one hundred twenty-four billion, six hundred three million, eight hundred thirty-six thousand, seven hundred ninety-two".