8005387525344 has 384 divisors, whose sum is σ = 26126706816000. Its totient is φ = 2364107765760.

The previous prime is 8005387525337. The next prime is 8005387525351. The reversal of 8005387525344 is 4435257835008.

8005387525344 is a `hidden beast` number, since 8 + 0 + 0 + 5 + 3 + 87 + 525 + 34 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (8005387525337) and next prime (8005387525351).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 74999757 + ... + 75106419.

It is an arithmetic number, because the mean of its divisors is an integer number (68038299000).

Almost surely, 2^{8005387525344} 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 8005387525344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13063353408000).

8005387525344 is an abundant number, since it is smaller than the sum of its proper divisors (18121319290656).

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

8005387525344 is a wasteful number, since it uses less digits than its factorization.

8005387525344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106895 (or 106881 counting only the distinct ones).

The product of its (nonzero) digits is 16128000, while the sum is 54.

The spelling of 8005387525344 in words is "eight trillion, five billion, three hundred eighty-seven million, five hundred twenty-five thousand, three hundred forty-four".