128766836123520 has 256 divisors, whose sum is σ = 469091046113280. Its totient is φ = 29431675699200.

The previous prime is 128766836123447. The next prime is 128766836123533. The reversal of 128766836123520 is 25321638667821.

It is a super-2 number, since 2×128766836123520² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 669229249 + ... + 669421631.

It is an arithmetic number, because the mean of its divisors is an integer number (1832386898880).

Almost surely, 2^{128766836123520} is an apocalyptic number.

128766836123520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

128766836123520 is an abundant number, since it is smaller than the sum of its proper divisors (340324209989760).

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

128766836123520 is a wasteful number, since it uses less digits than its factorization.

128766836123520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242213 (or 242201 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 60.

The spelling of 128766836123520 in words is "one hundred twenty-eight trillion, seven hundred sixty-six billion, eight hundred thirty-six million, one hundred twenty-three thousand, five hundred twenty".