8057743558416 has 120 divisors (see below), whose sum is σ = 23681716356480. Its totient is φ = 2651915500416.

The previous prime is 8057743558393. The next prime is 8057743558439. The reversal of 8057743558416 is 6148553477508.

It is a happy number.

8057743558416 is a `hidden beast` number, since 8 + 0 + 5 + 7 + 7 + 4 + 35 + 584 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (8057743558393) and next prime (8057743558439).

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 23 ways as a sum of consecutive naturals, for example, 12809715 + ... + 13424018.

It is an arithmetic number, because the mean of its divisors is an integer number (197347636304).

Almost surely, 2^{8057743558416} is an apocalyptic number.

It is an amenable number.

8057743558416 is an abundant number, since it is smaller than the sum of its proper divisors (15623972798064).

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

8057743558416 is a wasteful number, since it uses less digits than its factorization.

8057743558416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26233835 (or 26233817 counting only the distinct ones).

The product of its (nonzero) digits is 112896000, while the sum is 63.

The spelling of 8057743558416 in words is "eight trillion, fifty-seven billion, seven hundred forty-three million, five hundred fifty-eight thousand, four hundred sixteen".