20127219840 has 1536 divisors, whose sum is σ = 94097203200. Its totient is φ = 3845947392.

The previous prime is 20127219817. The next prime is 20127219869. The reversal of 20127219840 is 4891272102.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 20127219795 and 20127219804.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 428238697 + ... + 428238743.

It is an arithmetic number, because the mean of its divisors is an integer number (61261200).

Almost surely, 2^20127219840 is an apocalyptic number.

20127219840 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 20127219840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47048601600).

20127219840 is an abundant number, since it is smaller than the sum of its proper divisors (73969983360).

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

20127219840 is a wasteful number, since it uses less digits than its factorization.

20127219840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 20127219840 in words is "twenty billion, one hundred twenty-seven million, two hundred nineteen thousand, eight hundred forty".