75806006556 has 96 divisors (see below), whose sum is σ = 207788474880. Its totient is φ = 21055659264.

The previous prime is 75806006533. The next prime is 75806006597. The reversal of 75806006556 is 65560060857.

It is a super-2 number, since 2×75806006556² (a number of 23 digits) contains 22 as substring.

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, 3903286 + ... + 3922658.

It is an arithmetic number, because the mean of its divisors is an integer number (2164463280).

Almost surely, 2^75806006556 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 75806006556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103894237440).

75806006556 is an abundant number, since it is smaller than the sum of its proper divisors (131982468324).

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

75806006556 is a wasteful number, since it uses less digits than its factorization.

75806006556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20683 (or 20681 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 48.

The spelling of 75806006556 in words is "seventy-five billion, eight hundred six million, six thousand, five hundred fifty-six".