128763508608 has 192 divisors, whose sum is σ = 437124280320. Its totient is φ = 35602744320.

The previous prime is 128763508607. The next prime is 128763508613. The reversal of 128763508608 is 806805367821.

128763508608 is a `hidden beast` number, since 1 + 2 + 8 + 76 + 3 + 508 + 60 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×128763508608² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128763508607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7560 + ... + 507527.

It is an arithmetic number, because the mean of its divisors is an integer number (2276688960).

Almost surely, 2^128763508608 is an apocalyptic number.

128763508608 is a gapful number since it is divisible by the number (18) 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 128763508608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218562140160).

128763508608 is an abundant number, since it is smaller than the sum of its proper divisors (308360771712).

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

128763508608 is a wasteful number, since it uses less digits than its factorization.

128763508608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515145 (or 515130 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 128763508608 in words is "one hundred twenty-eight billion, seven hundred sixty-three million, five hundred eight thousand, six hundred eight".