19675165120 has 224 divisors, whose sum is σ = 51386646528. Its totient is φ = 7132188672.

The previous prime is 19675165109. The next prime is 19675165187. The reversal of 19675165120 is 2156157691.

It is a super-2 number, since 2×19675165120² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88229329 + ... + 88229551.

It is an arithmetic number, because the mean of its divisors is an integer number (229404672).

Almost surely, 2^19675165120 is an apocalyptic number.

19675165120 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 19675165120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25693323264).

19675165120 is an abundant number, since it is smaller than the sum of its proper divisors (31711481408).

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

19675165120 is a wasteful number, since it uses less digits than its factorization.

19675165120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 43.

The spelling of 19675165120 in words is "nineteen billion, six hundred seventy-five million, one hundred sixty-five thousand, one hundred twenty".