75560879160 has 448 divisors, whose sum is σ = 280415882880. Its totient is φ = 18199572480.

The previous prime is 75560879131. The next prime is 75560879161. The reversal of 75560879160 is 6197806557.

75560879160 is a `hidden beast` number, since 7 + 5 + 560 + 8 + 79 + 1 + 6 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 75560879097 and 75560879106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75560879161) by changing a digit.

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 111 ways as a sum of consecutive naturals, for example, 17814640 + ... + 17818880.

It is an arithmetic number, because the mean of its divisors is an integer number (625928310).

Almost surely, 2^75560879160 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 75560879160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140207941440).

75560879160 is an abundant number, since it is smaller than the sum of its proper divisors (204855003720).

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

75560879160 is a wasteful number, since it uses less digits than its factorization.

75560879160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4330 (or 4311 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 54.

The spelling of 75560879160 in words is "seventy-five billion, five hundred sixty million, eight hundred seventy-nine thousand, one hundred sixty".