80002960128 has 972 divisors, whose sum is σ = 306998113968. Its totient is φ = 19856793600.

The previous prime is 80002960123. The next prime is 80002960159. The reversal of 80002960128 is 82106920008.

80002960128 is a `hidden beast` number, since 8 + 0 + 0 + 0 + 29 + 601 + 28 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 80002960092 and 80002960101.

It is not an unprimeable number, because it can be changed into a prime (80002960123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 529820853 + ... + 529821003.

Almost surely, 2^80002960128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80002960128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153499056984).

80002960128 is an abundant number, since it is smaller than the sum of its proper divisors (226995153840).

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

80002960128 is a wasteful number, since it uses less digits than its factorization.

80002960128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 80002960128 in words is "eighty billion, two million, nine hundred sixty thousand, one hundred twenty-eight".