21114725220 has 240 divisors, whose sum is σ = 70295646960. Its totient is φ = 5287182336.

The previous prime is 21114725209. The next prime is 21114725293. The reversal of 21114725220 is 2252741112.

It is a happy number.

21114725220 is a `hidden beast` number, since 21 + 114 + 7 + 2 + 522 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1036968804 + 20077756416 = 32202^2 + 141696^2 .

It is a super-2 number, since 2×21114725220² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 21177762 + ... + 21178758.

It is an arithmetic number, because the mean of its divisors is an integer number (292898529).

Almost surely, 2^21114725220 is an apocalyptic number.

21114725220 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 21114725220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35147823480).

21114725220 is an abundant number, since it is smaller than the sum of its proper divisors (49180921740).

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

21114725220 is a wasteful number, since it uses less digits than its factorization.

21114725220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1804 (or 1793 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The spelling of 21114725220 in words is "twenty-one billion, one hundred fourteen million, seven hundred twenty-five thousand, two hundred twenty".