20719144116 has 288 divisors, whose sum is σ = 61574701440. Its totient is φ = 6014891520.

The previous prime is 20719144093. The next prime is 20719144133. The reversal of 20719144116 is 61144191702.

20719144116 is a `hidden beast` number, since 20 + 7 + 191 + 441 + 1 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35296375 + ... + 35296961.

Almost surely, 2^20719144116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20719144116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30787350720).

20719144116 is an abundant number, since it is smaller than the sum of its proper divisors (40855557324).

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

20719144116 is a wasteful number, since it uses less digits than its factorization.

20719144116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 20719144116 in words is "twenty billion, seven hundred nineteen million, one hundred forty-four thousand, one hundred sixteen".