75282803785728 has 2448 divisors, whose sum is σ = 295208667376896. Its totient is φ = 18621073981440.

The previous prime is 75282803785723. The next prime is 75282803785729. The reversal of 75282803785728 is 82758730828257.

75282803785728 is a `hidden beast` number, since 7 + 5 + 28 + 28 + 0 + 3 + 7 + 8 + 572 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75282803785723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1031271284700 + ... + 1031271284772.

Almost surely, 2^{75282803785728} 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 75282803785728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147604333688448).

75282803785728 is an abundant number, since it is smaller than the sum of its proper divisors (219925863591168).

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

75282803785728 is an frugal number, since it uses more digits than its factorization.

75282803785728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 842956800, while the sum is 72.

The spelling of 75282803785728 in words is "seventy-five trillion, two hundred eighty-two billion, eight hundred three million, seven hundred eighty-five thousand, seven hundred twenty-eight".