19848610130040 has 256 divisors, whose sum is σ = 66809390284800. Its totient is φ = 5241261053952.

The previous prime is 19848610129993. The next prime is 19848610130047. The reversal of 19848610130040 is 4003101684891.

19848610130040 is a `hidden beast` number, since 1 + 98 + 486 + 10 + 1 + 30 + 0 + 40 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19848610130047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 132582669 + ... + 132732291.

It is an arithmetic number, because the mean of its divisors is an integer number (260974180800).

Almost surely, 2^{19848610130040} is an apocalyptic number.

19848610130040 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 19848610130040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33404695142400).

19848610130040 is an abundant number, since it is smaller than the sum of its proper divisors (46960780154760).

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

19848610130040 is a wasteful number, since it uses less digits than its factorization.

19848610130040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150843 (or 150833 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 19848610130040 in words is "nineteen trillion, eight hundred forty-eight billion, six hundred ten million, one hundred thirty thousand, forty".