128905920000 has 1200 divisors, whose sum is σ = 547909650288. Its totient is φ = 28753920000.

The previous prime is 128905919981. The next prime is 128905920001. The reversal of 128905920000 is 29509821.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a super-2 number, since 2×128905920000² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128905920001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 411839844 + ... + 411840156.

Almost surely, 2^128905920000 is an apocalyptic number.

128905920000 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 128905920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273954825144).

128905920000 is an abundant number, since it is smaller than the sum of its proper divisors (419003730288).

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

128905920000 is a wasteful number, since it uses less digits than its factorization.

128905920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 128905920000 in words is "one hundred twenty-eight billion, nine hundred five million, nine hundred twenty thousand".