128818252800000 has 3360 divisors, whose sum is σ = 522561727283904. Its totient is φ = 31531991040000.

The previous prime is 128818252799969. The next prime is 128818252800007. The reversal of 128818252800000 is 8252818821.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128818252800007) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1764633599964 + ... + 1764633600036.

Almost surely, 2^{128818252800000} is an apocalyptic number.

128818252800000 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 128818252800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261280863641952).

128818252800000 is an abundant number, since it is smaller than the sum of its proper divisors (393743474483904).

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

128818252800000 is an frugal number, since it uses more digits than its factorization.

128818252800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 163840, while the sum is 45.

The spelling of 128818252800000 in words is "one hundred twenty-eight trillion, eight hundred eighteen billion, two hundred fifty-two million, eight hundred thousand".