128487814773120 has 1536 divisors, whose sum is σ = 530906126284800. Its totient is φ = 29244786278400.

The previous prime is 128487814773083. The next prime is 128487814773163. The reversal of 128487814773120 is 21377418784821.

It is a happy number.

128487814773120 is a `hidden beast` number, since 1 + 2 + 8 + 4 + 87 + 81 + 477 + 3 + 1 + 2 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 15319873567 + ... + 15319881953.

It is an arithmetic number, because the mean of its divisors is an integer number (345642009300).

Almost surely, 2^{128487814773120} is an apocalyptic number.

128487814773120 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 128487814773120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265453063142400).

128487814773120 is an abundant number, since it is smaller than the sum of its proper divisors (402418311511680).

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

128487814773120 is a wasteful number, since it uses less digits than its factorization.

128487814773120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8885 (or 8856 counting only the distinct ones).

The product of its (nonzero) digits is 33718272, while the sum is 63.

The spelling of 128487814773120 in words is "one hundred twenty-eight trillion, four hundred eighty-seven billion, eight hundred fourteen million, seven hundred seventy-three thousand, one hundred twenty".