8126240985600 has 240 divisors, whose sum is σ = 27770206432320. Its totient is φ = 2092273254400.

The previous prime is 8126240985509. The next prime is 8126240985613. The reversal of 8126240985600 is 65890426218.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2535036 + ... + 4762235.

It is an arithmetic number, because the mean of its divisors is an integer number (115709193468).

Almost surely, 2^{8126240985600} is an apocalyptic number.

8126240985600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8126240985600 is an abundant number, since it is smaller than the sum of its proper divisors (19643965446720).

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

8126240985600 is a wasteful number, since it uses less digits than its factorization.

8126240985600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7297331 (or 7297310 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 51.

The spelling of 8126240985600 in words is "eight trillion, one hundred twenty-six billion, two hundred forty million, nine hundred eighty-five thousand, six hundred".