19876619504 has 320 divisors, whose sum is σ = 50782464000. Its totient is φ = 7490875392.

The previous prime is 19876619501. The next prime is 19876619509. The reversal of 19876619504 is 40591667891.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a self number, because there is not a number n which added to its sum of digits gives 19876619504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19876619501) 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, 126602594 + ... + 126602750.

It is an arithmetic number, because the mean of its divisors is an integer number (158695200).

Almost surely, 2^19876619504 is an apocalyptic number.

19876619504 is a gapful number since it is divisible by the number (14) 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 19876619504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25391232000).

19876619504 is an abundant number, since it is smaller than the sum of its proper divisors (30905844496).

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

19876619504 is a wasteful number, since it uses less digits than its factorization.

19876619504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 56.

The spelling of 19876619504 in words is "nineteen billion, eight hundred seventy-six million, six hundred nineteen thousand, five hundred four".