8138527488 has 720 divisors, whose sum is σ = 31578328320. Its totient is φ = 2024497152.

The previous prime is 8138527459. The next prime is 8138527499. The reversal of 8138527488 is 8847258318.

8138527488 is a `hidden beast` number, since 8 + 1 + 38 + 527 + 4 + 88 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 35852431 + ... + 35852657.

Almost surely, 2^8138527488 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 8138527488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15789164160).

8138527488 is an abundant number, since it is smaller than the sum of its proper divisors (23439800832).

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

8138527488 is a wasteful number, since it uses less digits than its factorization.

8138527488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 271 counting only the distinct ones).

The product of its digits is 3440640, while the sum is 54.

The square root of 8138527488 is about 90213.7876823715. The cubic root of 8138527488 is about 2011.4779595434.

The spelling of 8138527488 in words is "eight billion, one hundred thirty-eight million, five hundred twenty-seven thousand, four hundred eighty-eight".