10125726467623 has 16 divisors (see below), whose sum is σ = 10927641100320. Its totient is φ = 9327117026304.

The previous prime is 10125726467621. The next prime is 10125726467651. The reversal of 10125726467623 is 32676462752101.

It is a cyclic number.

It is not a de Polignac number, because 10125726467623 - 2¹ = 10125726467621 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10125726467621) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 13421923 + ... + 14156251.

It is an arithmetic number, because the mean of its divisors is an integer number (682977568770).

Almost surely, 2^{10125726467623} is an apocalyptic number.

10125726467623 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

10125726467623 is a deficient number, since it is larger than the sum of its proper divisors (801914632697).

10125726467623 is a wasteful number, since it uses less digits than its factorization.

10125726467623 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736578.

The product of its (nonzero) digits is 5080320, while the sum is 52.

The spelling of 10125726467623 in words is "ten trillion, one hundred twenty-five billion, seven hundred twenty-six million, four hundred sixty-seven thousand, six hundred twenty-three".