8008148212560 has 240 divisors, whose sum is σ = 27088666982208. Its totient is φ = 2120096563200.

The previous prime is 8008148212523. The next prime is 8008148212621. The reversal of 8008148212560 is 652128418008.

8008148212560 is a `hidden beast` number, since 8 + 0 + 0 + 8 + 1 + 4 + 82 + 1 + 2 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 68170675 + ... + 68288045.

Almost surely, 2^{8008148212560} is an apocalyptic number.

8008148212560 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 8008148212560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13544333491104).

8008148212560 is an abundant number, since it is smaller than the sum of its proper divisors (19080518769648).

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

8008148212560 is a wasteful number, since it uses less digits than its factorization.

8008148212560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118074 (or 118065 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 8008148212560 in words is "eight trillion, eight billion, one hundred forty-eight million, two hundred twelve thousand, five hundred sixty".