20519164944 has 120 divisors (see below), whose sum is σ = 59709511680. Its totient is φ = 6821635968.

The previous prime is 20519164943. The next prime is 20519164987. The reversal of 20519164944 is 44946191502.

20519164944 is a `hidden beast` number, since 20 + 51 + 91 + 6 + 494 + 4 = 666.

It is a super-2 number, since 2×20519164944² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 20519164944.

It is not an unprimeable number, because it can be changed into a prime (20519164943) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1505649 + ... + 1519215.

It is an arithmetic number, because the mean of its divisors is an integer number (497579264).

Almost surely, 2^20519164944 is an apocalyptic number.

20519164944 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 20519164944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29854755840).

20519164944 is an abundant number, since it is smaller than the sum of its proper divisors (39190346736).

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

20519164944 is a wasteful number, since it uses less digits than its factorization.

20519164944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13979 (or 13961 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 20519164944 in words is "twenty billion, five hundred nineteen million, one hundred sixty-four thousand, nine hundred forty-four".