128382310752 has 96 divisors (see below), whose sum is σ = 346025040480. Its totient is φ = 41653370880.

The previous prime is 128382310741. The next prime is 128382310787. The reversal of 128382310752 is 257013283821.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1666624 + ... + 1741952.

It is an arithmetic number, because the mean of its divisors is an integer number (3604427505).

Almost surely, 2^128382310752 is an apocalyptic number.

128382310752 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 128382310752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173012520240).

128382310752 is an abundant number, since it is smaller than the sum of its proper divisors (217642729728).

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

128382310752 is a wasteful number, since it uses less digits than its factorization.

128382310752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75816 (or 75808 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The spelling of 128382310752 in words is "one hundred twenty-eight billion, three hundred eighty-two million, three hundred ten thousand, seven hundred fifty-two".