128648520000 has 3360 divisors, whose sum is σ = 683866592640. Its totient is φ = 23224320000.

The previous prime is 128648519981. The next prime is 128648520037. The reversal of 128648520000 is 25846821.

128648520000 is a `hidden beast` number, since 1 + 2 + 8 + 648 + 5 + 2 + 0 + 0 + 0 + 0 = 666.

128648520000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 7567559992 + ... + 7567560008.

It is an arithmetic number, because the mean of its divisors is an integer number (203531724).

Almost surely, 2^128648520000 is an apocalyptic number.

128648520000 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 128648520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341933296320).

128648520000 is an abundant number, since it is smaller than the sum of its proper divisors (555218072640).

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

128648520000 is a wasteful number, since it uses less digits than its factorization.

128648520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 128648520000 in words is "one hundred twenty-eight billion, six hundred forty-eight million, five hundred twenty thousand".