21127360644630 has 256 divisors, whose sum is σ = 58404984422400. Its totient is φ = 5429006156160.

The previous prime is 21127360644581. The next prime is 21127360644631. The reversal of 21127360644630 is 3644606372112.

21127360644630 is a `hidden beast` number, since 2 + 1 + 1 + 2 + 7 + 3 + 6 + 0 + 6 + 4 + 4 + 630 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21127360644631) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4687674837 + ... + 4687679343.

It is an arithmetic number, because the mean of its divisors is an integer number (228144470400).

Almost surely, 2^{21127360644630} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21127360644630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29202492211200).

21127360644630 is an abundant number, since it is smaller than the sum of its proper divisors (37277623777770).

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

21127360644630 is a wasteful number, since it uses less digits than its factorization.

21127360644630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6816 (or 6810 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 21127360644630 in words is "twenty-one trillion, one hundred twenty-seven billion, three hundred sixty million, six hundred forty-four thousand, six hundred thirty".