128961415080 has 192 divisors, whose sum is σ = 425919686400. Its totient is φ = 33833479680.

The previous prime is 128961415061. The next prime is 128961415171. The reversal of 128961415080 is 80514169821.

It is a happy number.

128961415080 is a `hidden beast` number, since 1 + 2 + 89 + 61 + 4 + 1 + 508 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21970386 + ... + 21976254.

It is an arithmetic number, because the mean of its divisors is an integer number (2218331700).

Almost surely, 2^128961415080 is an apocalyptic number.

128961415080 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 128961415080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212959843200).

128961415080 is an abundant number, since it is smaller than the sum of its proper divisors (296958271320).

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

128961415080 is a wasteful number, since it uses less digits than its factorization.

128961415080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6864 (or 6857 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 128961415080 in words is "one hundred twenty-eight billion, nine hundred sixty-one million, four hundred fifteen thousand, eighty".