128992893120 has 896 divisors, whose sum is σ = 562860748800. Its totient is φ = 27080884224.

The previous prime is 128992893091. The next prime is 128992893121. The reversal of 128992893120 is 21398299821.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (128992893121) 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, 282259932 + ... + 282260388.

It is an arithmetic number, because the mean of its divisors is an integer number (628192800).

Almost surely, 2^128992893120 is an apocalyptic number.

128992893120 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 128992893120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281430374400).

128992893120 is an abundant number, since it is smaller than the sum of its proper divisors (433867855680).

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

128992893120 is a wasteful number, since it uses less digits than its factorization.

128992893120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 862 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The spelling of 128992893120 in words is "one hundred twenty-eight billion, nine hundred ninety-two million, eight hundred ninety-three thousand, one hundred twenty".