21092549120 has 240 divisors, whose sum is σ = 53440595208. Its totient is φ = 7982284800.

The previous prime is 21092549087. The next prime is 21092549129. The reversal of 21092549120 is 2194529012.

It can be written as a sum of positive squares in 12 ways, for example, as 6994311424 + 14098237696 = 83632^2 + 118736^2 .

It is a super-2 number, since 2×21092549120² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21092549129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 208837070 + ... + 208837170.

Almost surely, 2^21092549120 is an apocalyptic number.

21092549120 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 21092549120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26720297604).

21092549120 is an abundant number, since it is smaller than the sum of its proper divisors (32348046088).

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

21092549120 is an equidigital number, since it uses as much as digits as its factorization.

21092549120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 35.

The spelling of 21092549120 in words is "twenty-one billion, ninety-two million, five hundred forty-nine thousand, one hundred twenty".