8008105704960 has 80 divisors (see below), whose sum is σ = 25600912950096. Its totient is φ = 2135494852608.

The previous prime is 8008105704923. The next prime is 8008105704979. The reversal of 8008105704960 is 694075018008.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 521353369 + ... + 521368728.

Almost surely, 2^{8008105704960} is an apocalyptic number.

8008105704960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8008105704960 is an abundant number, since it is smaller than the sum of its proper divisors (17592807245136).

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

8008105704960 is a wasteful number, since it uses less digits than its factorization.

8008105704960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1042722123 (or 1042722107 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 48.

The spelling of 8008105704960 in words is "eight trillion, eight billion, one hundred five million, seven hundred four thousand, nine hundred sixty".