10688004001 has 8 divisors (see below), whose sum is σ = 10985705000. Its totient is φ = 10390768128.

The previous prime is 10688003999. The next prime is 10688004029. The reversal of 10688004001 is 10040088601.

It can be written as a sum of positive squares in 4 ways, for example, as 802872225 + 9885131776 = 28335^2 + 99424^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10688004001 - 2¹ = 10688003999 is a prime.

It is a super-2 number, since 2×10688004001² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10688004101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69426 + ... + 161851.

It is an arithmetic number, because the mean of its divisors is an integer number (1373213125).

Almost surely, 2^10688004001 is an apocalyptic number.

It is an amenable number.

10688004001 is a deficient number, since it is larger than the sum of its proper divisors (297700999).

10688004001 is a wasteful number, since it uses less digits than its factorization.

10688004001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232563.

The product of its (nonzero) digits is 1536, while the sum is 28.

The spelling of 10688004001 in words is "ten billion, six hundred eighty-eight million, four thousand, one".