21030421452768 has 576 divisors, whose sum is σ = 74586429066240. Its totient is φ = 5473027989504.

The previous prime is 21030421452751. The next prime is 21030421452769. The reversal of 21030421452768 is 86725412403012.

21030421452768 is a `hidden beast` number, since 2 + 10 + 3 + 0 + 42 + 14 + 527 + 68 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21030421452769) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 763923228 + ... + 763950756.

It is an arithmetic number, because the mean of its divisors is an integer number (129490328240).

Almost surely, 2^{21030421452768} is an apocalyptic number.

21030421452768 is a gapful number since it is divisible by the number (28) 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 21030421452768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37293214533120).

21030421452768 is an abundant number, since it is smaller than the sum of its proper divisors (53556007613472).

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

21030421452768 is a wasteful number, since it uses less digits than its factorization.

21030421452768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27951 (or 27940 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 21030421452768 in words is "twenty-one trillion, thirty billion, four hundred twenty-one million, four hundred fifty-two thousand, seven hundred sixty-eight".