128819661247872 has 1024 divisors, whose sum is σ = 465071823360000. Its totient is φ = 35021531381760.

The previous prime is 128819661247817. The next prime is 128819661247877. The reversal of 128819661247872 is 278742166918821.

128819661247872 is a `hidden beast` number, since 1 + 2 + 8 + 8 + 1 + 96 + 61 + 2 + 478 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 128819661247872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128819661247877) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5262013872 + ... + 5262038352.

It is an arithmetic number, because the mean of its divisors is an integer number (454171702500).

Almost surely, 2^{128819661247872} is an apocalyptic number.

128819661247872 is a gapful number since it is divisible by the number (12) 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 128819661247872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232535911680000).

128819661247872 is an abundant number, since it is smaller than the sum of its proper divisors (336252162112128).

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

128819661247872 is a wasteful number, since it uses less digits than its factorization.

128819661247872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24741 (or 24709 counting only the distinct ones).

The product of its digits is 260112384, while the sum is 72.

The spelling of 128819661247872 in words is "one hundred twenty-eight trillion, eight hundred nineteen billion, six hundred sixty-one million, two hundred forty-seven thousand, eight hundred seventy-two".