20127262320 has 480 divisors, whose sum is σ = 77774022144. Its totient is φ = 4796236800.

The previous prime is 20127262313. The next prime is 20127262321. The reversal of 20127262320 is 2326272102.

20127262320 is a `hidden beast` number, since 2 + 0 + 12 + 7 + 2 + 623 + 20 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20127262321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13043469 + ... + 13045011.

Almost surely, 2^20127262320 is an apocalyptic number.

20127262320 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 20127262320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38887011072).

20127262320 is an abundant number, since it is smaller than the sum of its proper divisors (57646759824).

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

20127262320 is a wasteful number, since it uses less digits than its factorization.

20127262320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1643 (or 1625 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The spelling of 20127262320 in words is "twenty billion, one hundred twenty-seven million, two hundred sixty-two thousand, three hundred twenty".