19749058560 has 1152 divisors, whose sum is σ = 89782318080. Its totient is φ = 3925278720.

The previous prime is 19749058529. The next prime is 19749058561. The reversal of 19749058560 is 6585094791.

19749058560 is a `hidden beast` number, since 1 + 9 + 74 + 9 + 0 + 5 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a junction number, because it is equal to n+sod(n) for n = 19749058497 and 19749058506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19749058561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 858654709 + ... + 858654731.

It is an arithmetic number, because the mean of its divisors is an integer number (77936040).

Almost surely, 2^19749058560 is an apocalyptic number.

19749058560 is a gapful number since it is divisible by the number (10) 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 19749058560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44891159040).

19749058560 is an abundant number, since it is smaller than the sum of its proper divisors (70033259520).

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

19749058560 is a wasteful number, since it uses less digits than its factorization.

19749058560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 19749058560 in words is "nineteen billion, seven hundred forty-nine million, fifty-eight thousand, five hundred sixty".