128641788000 has 1152 divisors, whose sum is σ = 535492653696. Its totient is φ = 28901376000.

The previous prime is 128641787987. The next prime is 128641788019. The reversal of 128641788000 is 887146821.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 653003902 + ... + 653004098.

It is an arithmetic number, because the mean of its divisors is an integer number (464837373).

Almost surely, 2^128641788000 is an apocalyptic number.

128641788000 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 128641788000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267746326848).

128641788000 is an abundant number, since it is smaller than the sum of its proper divisors (406850865696).

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

128641788000 is a wasteful number, since it uses less digits than its factorization.

128641788000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The spelling of 128641788000 in words is "one hundred twenty-eight billion, six hundred forty-one million, seven hundred eighty-eight thousand".