11575001088001 has 32 divisors (see below), whose sum is σ = 13563066675200. Its totient is φ = 9782483192640.

The previous prime is 11575001087999. The next prime is 11575001088019. The reversal of 11575001088001 is 10088010057511.

It is a cyclic number.

It is not a de Polignac number, because 11575001088001 - 2¹ = 11575001087999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11575001088041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4635730 + ... + 6681316.

It is an arithmetic number, because the mean of its divisors is an integer number (423845833600).

Almost surely, 2^{11575001088001} is an apocalyptic number.

It is an amenable number.

11575001088001 is a deficient number, since it is larger than the sum of its proper divisors (1988065587199).

11575001088001 is a wasteful number, since it uses less digits than its factorization.

11575001088001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2046389.

The product of its (nonzero) digits is 11200, while the sum is 37.

The spelling of 11575001088001 in words is "eleven trillion, five hundred seventy-five billion, one million, eighty-eight thousand, one".