20627814144 has 576 divisors, whose sum is σ = 70711280640. Its totient is φ = 5202247680.

The previous prime is 20627814143. The next prime is 20627814169. The reversal of 20627814144 is 44141872602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20627814143) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 113965734 + ... + 113965914.

It is an arithmetic number, because the mean of its divisors is an integer number (122762640).

Almost surely, 2^20627814144 is an apocalyptic number.

20627814144 is a gapful number since it is divisible by the number (24) 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 20627814144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35355640320).

20627814144 is an abundant number, since it is smaller than the sum of its proper divisors (50083466496).

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

20627814144 is a wasteful number, since it uses less digits than its factorization.

20627814144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The spelling of 20627814144 in words is "twenty billion, six hundred twenty-seven million, eight hundred fourteen thousand, one hundred forty-four".