19958641920 has 1152 divisors, whose sum is σ = 89854894080. Its totient is φ = 4087480320.

The previous prime is 19958641907. The next prime is 19958641921. The reversal of 19958641920 is 2914685991.

19958641920 is a `hidden beast` number, since 19 + 9 + 586 + 41 + 9 + 2 + 0 = 666.

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

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19958641921) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 94590615 + ... + 94590825.

It is an arithmetic number, because the mean of its divisors is an integer number (77999040).

Almost surely, 2^19958641920 is an apocalyptic number.

19958641920 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 19958641920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44927447040).

19958641920 is an abundant number, since it is smaller than the sum of its proper divisors (69896252160).

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

19958641920 is a wasteful number, since it uses less digits than its factorization.

19958641920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The spelling of 19958641920 in words is "nineteen billion, nine hundred fifty-eight million, six hundred forty-one thousand, nine hundred twenty".