19580117120 has 128 divisors (see below), whose sum is σ = 51415344000. Its totient is φ = 7097131008.

The previous prime is 19580117113. The next prime is 19580117197. The reversal of 19580117120 is 2171108591.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 244676 + ... + 314684.

It is an arithmetic number, because the mean of its divisors is an integer number (401682375).

Almost surely, 2^19580117120 is an apocalyptic number.

19580117120 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 19580117120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25707672000).

19580117120 is an abundant number, since it is smaller than the sum of its proper divisors (31835226880).

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

19580117120 is a wasteful number, since it uses less digits than its factorization.

19580117120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70070 (or 70058 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 35.

The spelling of 19580117120 in words is "nineteen billion, five hundred eighty million, one hundred seventeen thousand, one hundred twenty".