19975115160 has 768 divisors, whose sum is σ = 90436469760. Its totient is φ = 3829524480.

The previous prime is 19975115113. The next prime is 19975115177. The reversal of 19975115160 is 6151157991.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9728694 + ... + 9730746.

It is an arithmetic number, because the mean of its divisors is an integer number (117755820).

Almost surely, 2^19975115160 is an apocalyptic number.

19975115160 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 19975115160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45218234880).

19975115160 is an abundant number, since it is smaller than the sum of its proper divisors (70461354600).

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

19975115160 is a wasteful number, since it uses less digits than its factorization.

19975115160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2110 (or 2094 counting only the distinct ones).

The product of its (nonzero) digits is 85050, while the sum is 45.

The spelling of 19975115160 in words is "nineteen billion, nine hundred seventy-five million, one hundred fifteen thousand, one hundred sixty".