128803920795648 has 1536 divisors, whose sum is σ = 461795862528000. Its totient is φ = 34680908021760.

The previous prime is 128803920795643. The next prime is 128803920795673. The reversal of 128803920795648 is 846597029308821.

128803920795648 is a `hidden beast` number, since 1 + 2 + 8 + 8 + 0 + 39 + 20 + 7 + 9 + 564 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128803920795643) 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, 208758380236 + ... + 208758380852.

It is an arithmetic number, because the mean of its divisors is an integer number (300648348000).

It is a 1-persistent number, because it is pandigital, but 2⋅128803920795648 = 257607841591296 is not.

Almost surely, 2^{128803920795648} is an apocalyptic number.

128803920795648 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 128803920795648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230897931264000).

128803920795648 is an abundant number, since it is smaller than the sum of its proper divisors (332991941732352).

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

128803920795648 is a wasteful number, since it uses less digits than its factorization.

128803920795648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 988 (or 962 counting only the distinct ones).

The product of its (nonzero) digits is 418037760, while the sum is 72.

The spelling of 128803920795648 in words is "one hundred twenty-eight trillion, eight hundred three billion, nine hundred twenty million, seven hundred ninety-five thousand, six hundred forty-eight".