8001538785153 has 8 divisors (see below), whose sum is σ = 11854131533600. Its totient is φ = 5334359190084.

The previous prime is 8001538785127. The next prime is 8001538785169. The reversal of 8001538785153 is 3515878351008.

8001538785153 is a `hidden beast` number, since 8 + 0 + 0 + 1 + 53 + 8 + 78 + 515 + 3 = 666.

It is not a de Polignac number, because 8001538785153 - 2¹⁸ = 8001538523009 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 8001538785153.

It is not an unprimeable number, because it can be changed into a prime (8001538785103) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 148176644143 + ... + 148176644196.

It is an arithmetic number, because the mean of its divisors is an integer number (1481766441700).

Almost surely, 2^{8001538785153} is an apocalyptic number.

It is an amenable number.

8001538785153 is a deficient number, since it is larger than the sum of its proper divisors (3852592748447).

8001538785153 is a wasteful number, since it uses less digits than its factorization.

8001538785153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296353288348 (or 296353288342 counting only the distinct ones).

The product of its (nonzero) digits is 4032000, while the sum is 54.

The spelling of 8001538785153 in words is "eight trillion, one billion, five hundred thirty-eight million, seven hundred eighty-five thousand, one hundred fifty-three".