78417004427125 has 48 divisors (see below), whose sum is σ = 122599385331696. Its totient is φ = 49635378576000.

The previous prime is 78417004427059. The next prime is 78417004427131. The reversal of 78417004427125 is 52172440071487.

It can be written as a sum of positive squares in 8 ways, for example, as 14859660361329 + 63557344065796 = 3854823^2 + 7972286^2 .

It is not a de Polignac number, because 78417004427125 - 2⁷ = 78417004426997 is a prime.

It is a super-2 number, since 2×78417004427125² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 492334846 + ... + 492494095.

It is an arithmetic number, because the mean of its divisors is an integer number (2554153861077).

Almost surely, 2^{78417004427125} is an apocalyptic number.

It is an amenable number.

78417004427125 is a deficient number, since it is larger than the sum of its proper divisors (44182380904571).

78417004427125 is a wasteful number, since it uses less digits than its factorization.

78417004427125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 984828983 (or 984828966 counting only the distinct ones).

The product of its (nonzero) digits is 3512320, while the sum is 52.

The spelling of 78417004427125 in words is "seventy-eight trillion, four hundred seventeen billion, four million, four hundred twenty-seven thousand, one hundred twenty-five".