8538071040 has 672 divisors, whose sum is σ = 33122494080. Its totient is φ = 2024275968.

The previous prime is 8538071039. The next prime is 8538071081. The reversal of 8538071040 is 401708358.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 8538070986 and 8538071004.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 161095654 + ... + 161095706.

Almost surely, 2^8538071040 is an apocalyptic number.

8538071040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8538071040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16561247040).

8538071040 is an abundant number, since it is smaller than the sum of its proper divisors (24584423040).

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

8538071040 is a wasteful number, since it uses less digits than its factorization.

8538071040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 8538071040 is about 92401.6831015539. The cubic root of 8538071040 is about 2043.8699319682.

Adding to 8538071040 its reverse (401708358), we get a palindrome (8939779398).

The spelling of 8538071040 in words is "eight billion, five hundred thirty-eight million, seventy-one thousand, forty".