75516580830 has 64 divisors (see below), whose sum is σ = 183860435520. Its totient is φ = 19846987776.

The previous prime is 75516580817. The next prime is 75516580859. The reversal of 75516580830 is 3808561557.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 75516580830.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3073474 + ... + 3097946.

It is an arithmetic number, because the mean of its divisors is an integer number (2872819305).

Almost surely, 2^75516580830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75516580830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91930217760).

75516580830 is an abundant number, since it is smaller than the sum of its proper divisors (108343854690).

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

75516580830 is a wasteful number, since it uses less digits than its factorization.

75516580830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25965.

The product of its (nonzero) digits is 1008000, while the sum is 48.

The spelling of 75516580830 in words is "seventy-five billion, five hundred sixteen million, five hundred eighty thousand, eight hundred thirty".