21420751948488 has 384 divisors, whose sum is σ = 63049178031840. Its totient is φ = 6545276928000.

The previous prime is 21420751948429. The next prime is 21420751948489. The reversal of 21420751948488 is 88484915702412.

21420751948488 is a `hidden beast` number, since 2 + 1 + 4 + 2 + 0 + 75 + 1 + 9 + 484 + 88 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 2855011743684 + 18565740204804 = 1689678^2 + 4308798^2 .

It is a super-4 number, since 4×21420751948488⁴ (a number of 54 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (21420751948489) 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 95 ways as a sum of consecutive naturals, for example, 3256915056 + ... + 3256921632.

Almost surely, 2^{21420751948488} 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 21420751948488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31524589015920).

21420751948488 is an abundant number, since it is smaller than the sum of its proper divisors (41628426083352).

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

21420751948488 is a wasteful number, since it uses less digits than its factorization.

21420751948488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7089 (or 7082 counting only the distinct ones).

The product of its (nonzero) digits is 41287680, while the sum is 63.

The spelling of 21420751948488 in words is "twenty-one trillion, four hundred twenty billion, seven hundred fifty-one million, nine hundred forty-eight thousand, four hundred eighty-eight".