7852758138 has 64 divisors (see below), whose sum is σ = 17594092800. Its totient is φ = 2596147200.

The previous prime is 7852758131. The next prime is 7852758143. The reversal of 7852758138 is 8318572587.

7852758138 is a `hidden beast` number, since 7 + 8 + 5 + 27 + 581 + 38 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (7852758131) by changing a digit.

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, 4178283 + ... + 4180161.

It is an arithmetic number, because the mean of its divisors is an integer number (274907700).

Almost surely, 2^7852758138 is an apocalyptic number.

7852758138 is an abundant number, since it is smaller than the sum of its proper divisors (9741334662).

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

7852758138 is a wasteful number, since it uses less digits than its factorization.

7852758138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2484 (or 2478 counting only the distinct ones).

The product of its digits is 3763200, while the sum is 54.

The square root of 7852758138 is about 88615.7894395801. The cubic root of 7852758138 is about 1987.6537871745.

The spelling of 7852758138 in words is "seven billion, eight hundred fifty-two million, seven hundred fifty-eight thousand, one hundred thirty-eight".