128878081441536 has 1152 divisors, whose sum is σ = 435723222122496. Its totient is φ = 32972270469120.

The previous prime is 128878081441511. The next prime is 128878081441537. The reversal of 128878081441536 is 635144180878821.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128878081441537) 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, 79212095955 + ... + 79212097581.

It is an arithmetic number, because the mean of its divisors is an integer number (378231963648).

Almost surely, 2^{128878081441536} is an apocalyptic number.

128878081441536 is a gapful number since it is divisible by the number (16) 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 128878081441536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217861611061248).

128878081441536 is an abundant number, since it is smaller than the sum of its proper divisors (306845140680960).

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

128878081441536 is a wasteful number, since it uses less digits than its factorization.

128878081441536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2157 (or 2143 counting only the distinct ones).

The product of its (nonzero) digits is 82575360, while the sum is 66.

The spelling of 128878081441536 in words is "one hundred twenty-eight trillion, eight hundred seventy-eight billion, eighty-one million, four hundred forty-one thousand, five hundred thirty-six".