75785807552 has 224 divisors, whose sum is σ = 188726307840. Its totient is φ = 29397012480.

The previous prime is 75785807437. The next prime is 75785807593. The reversal of 75785807552 is 25570858757.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 75785807491 and 75785807500.

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 31 ways as a sum of consecutive naturals, for example, 140084402 + ... + 140084942.

It is an arithmetic number, because the mean of its divisors is an integer number (842528160).

Almost surely, 2^75785807552 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 75785807552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94363153920).

75785807552 is an abundant number, since it is smaller than the sum of its proper divisors (112940500288).

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

75785807552 is a wasteful number, since it uses less digits than its factorization.

75785807552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 999 (or 989 counting only the distinct ones).

The product of its (nonzero) digits is 27440000, while the sum is 59.

The spelling of 75785807552 in words is "seventy-five billion, seven hundred eighty-five million, eight hundred seven thousand, five hundred fifty-two".