75109132560 has 480 divisors, whose sum is σ = 311037235200. Its totient is φ = 14785182720.

The previous prime is 75109132513. The next prime is 75109132577. The reversal of 75109132560 is 6523190157.

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 95 ways as a sum of consecutive naturals, for example, 2442561 + ... + 2473119.

It is an arithmetic number, because the mean of its divisors is an integer number (647994240).

Almost surely, 2^75109132560 is an apocalyptic number.

75109132560 is a gapful number since it is divisible by the number (70) 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 75109132560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155518617600).

75109132560 is an abundant number, since it is smaller than the sum of its proper divisors (235928102640).

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

75109132560 is a wasteful number, since it uses less digits than its factorization.

75109132560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30619 (or 30606 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 39.

The spelling of 75109132560 in words is "seventy-five billion, one hundred nine million, one hundred thirty-two thousand, five hundred sixty".