8753240538 has 288 divisors, whose sum is σ = 24092909568. Its totient is φ = 2371874400.

The previous prime is 8753240501. The next prime is 8753240543. The reversal of 8753240538 is 8350423578.

8753240538 is a `hidden beast` number, since 8 + 75 + 3 + 2 + 40 + 538 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 8753240493 and 8753240502.

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 143 ways as a sum of consecutive naturals, for example, 52414531 + ... + 52414697.

It is an arithmetic number, because the mean of its divisors is an integer number (83655936).

Almost surely, 2^8753240538 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8753240538, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12046454784).

8753240538 is an abundant number, since it is smaller than the sum of its proper divisors (15339669030).

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

8753240538 is a wasteful number, since it uses less digits than its factorization.

8753240538 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The square root of 8753240538 is about 93558.7544701189. The cubic root of 8753240538 is about 2060.8970029191.

The spelling of 8753240538 in words is "eight billion, seven hundred fifty-three million, two hundred forty thousand, five hundred thirty-eight".