10125726470001 has 24 divisors (see below), whose sum is σ = 15023504404584. Its totient is φ = 6567095900160.

The previous prime is 10125726469921. The next prime is 10125726470021. The reversal of 10125726470001 is 10007462752101.

10125726470001 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 5 + 7 + 2 + 647 + 0 + 0 + 0 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2710583568225 + 7415142901776 = 1646385^2 + 2723076^2 .

It is not a de Polignac number, because 10125726470001 - 2¹¹ = 10125726467953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10125726470021) 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, 144211 + ... + 4502471.

It is an arithmetic number, because the mean of its divisors is an integer number (625979350191).

Almost surely, 2^{10125726470001} is an apocalyptic number.

It is an amenable number.

10125726470001 is a deficient number, since it is larger than the sum of its proper divisors (4897777934583).

10125726470001 is a wasteful number, since it uses less digits than its factorization.

10125726470001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4365281 (or 4365278 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The spelling of 10125726470001 in words is "ten trillion, one hundred twenty-five billion, seven hundred twenty-six million, four hundred seventy thousand, one".