75852525785080 has 128 divisors (see below), whose sum is σ = 190539691372800. Its totient is φ = 26937548467200.

The previous prime is 75852525785063. The next prime is 75852525785081. The reversal of 75852525785080 is 8058752525857.

It is a junction number, because it is equal to n+sod(n) for n = 75852525784997 and 75852525785015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75852525785081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 138239511 + ... + 138787129.

It is an arithmetic number, because the mean of its divisors is an integer number (1488591338850).

Almost surely, 2^{75852525785080} 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 75852525785080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95269845686400).

75852525785080 is an abundant number, since it is smaller than the sum of its proper divisors (114687165587720).

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

75852525785080 is a wasteful number, since it uses less digits than its factorization.

75852525785080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555005 (or 555001 counting only the distinct ones).

The product of its (nonzero) digits is 313600000, while the sum is 67.

The spelling of 75852525785080 in words is "seventy-five trillion, eight hundred fifty-two billion, five hundred twenty-five million, seven hundred eighty-five thousand, eighty".