10001855657401 has 16 divisors (see below), whose sum is σ = 10523210212368. Its totient is φ = 9493735680000.

The previous prime is 10001855657357. The next prime is 10001855657413. The reversal of 10001855657401 is 10475655810001.

It can be written as a sum of positive squares in 8 ways, for example, as 201981931776 + 9799873725625 = 449424^2 + 3130475^2 .

It is a cyclic number.

It is not a de Polignac number, because 10001855657401 - 2²¹ = 10001853560249 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10001855657501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34828401 + ... + 35114401.

It is an arithmetic number, because the mean of its divisors is an integer number (657700638273).

Almost surely, 2^{10001855657401} is an apocalyptic number.

It is an amenable number.

10001855657401 is a deficient number, since it is larger than the sum of its proper divisors (521354554967).

10001855657401 is a wasteful number, since it uses less digits than its factorization.

10001855657401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309132.

The product of its (nonzero) digits is 168000, while the sum is 43.

The spelling of 10001855657401 in words is "ten trillion, one billion, eight hundred fifty-five million, six hundred fifty-seven thousand, four hundred one".