21127630140 has 168 divisors, whose sum is σ = 67211892720. Its totient is φ = 5575578624.

The previous prime is 21127630133. The next prime is 21127630177. The reversal of 21127630140 is 4103672112.

21127630140 is a `hidden beast` number, since 2 + 1 + 1 + 27 + 630 + 1 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1406791 + ... + 1421729.

It is an arithmetic number, because the mean of its divisors is an integer number (400070790).

Almost surely, 2^21127630140 is an apocalyptic number.

21127630140 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 21127630140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33605946360).

21127630140 is an abundant number, since it is smaller than the sum of its proper divisors (46084262580).

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

21127630140 is a wasteful number, since it uses less digits than its factorization.

21127630140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15063 (or 15046 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 21127630140 in words is "twenty-one billion, one hundred twenty-seven million, six hundred thirty thousand, one hundred forty".