11528574220801 has 16 divisors (see below), whose sum is σ = 13567681346688. Its totient is φ = 9677907116800.

The previous prime is 11528574220799. The next prime is 11528574220811. The reversal of 11528574220801 is 10802247582511.

It is a cyclic number.

It is not a de Polignac number, because 11528574220801 - 2¹ = 11528574220799 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11528574220811) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 581595085 + ... + 581614906.

It is an arithmetic number, because the mean of its divisors is an integer number (847980084168).

Almost surely, 2^{11528574220801} is an apocalyptic number.

11528574220801 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11528574220801 is a deficient number, since it is larger than the sum of its proper divisors (2039107125887).

11528574220801 is a wasteful number, since it uses less digits than its factorization.

11528574220801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1163210072.

The product of its (nonzero) digits is 358400, while the sum is 46.

The spelling of 11528574220801 in words is "eleven trillion, five hundred twenty-eight billion, five hundred seventy-four million, two hundred twenty thousand, eight hundred one".