8126008564100 has 72 divisors (see below), whose sum is σ = 20407596330240. Its totient is φ = 2750793477120.

The previous prime is 8126008564099. The next prime is 8126008564103. The reversal of 8126008564100 is 14658006218.

It is not an unprimeable number, because it can be changed into a prime (8126008564103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73416749 + ... + 73527348.

It is an arithmetic number, because the mean of its divisors is an integer number (283438837920).

Almost surely, 2^{8126008564100} is an apocalyptic number.

It is an amenable number.

8126008564100 is an abundant number, since it is smaller than the sum of its proper divisors (12281587766140).

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

8126008564100 is a wasteful number, since it uses less digits than its factorization.

8126008564100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146944197 (or 146944190 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 41.

The spelling of 8126008564100 in words is "eight trillion, one hundred twenty-six billion, eight million, five hundred sixty-four thousand, one hundred".