11287564401 has 16 divisors (see below), whose sum is σ = 15221770560. Its totient is φ = 7439688000.

The previous prime is 11287564391. The next prime is 11287564427. The reversal of 11287564401 is 10446578211.

It is not a de Polignac number, because 11287564401 - 2²⁵ = 11254009969 is a prime.

It is a super-2 number, since 2×11287564401² (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 11287564401.

It is not an unprimeable number, because it can be changed into a prime (11287564481) 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 15 ways as a sum of consecutive naturals, for example, 32151 + ... + 153651.

It is an arithmetic number, because the mean of its divisors is an integer number (951360660).

Almost surely, 2^11287564401 is an apocalyptic number.

It is an amenable number.

11287564401 is a deficient number, since it is larger than the sum of its proper divisors (3934206159).

11287564401 is a wasteful number, since it uses less digits than its factorization.

11287564401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121856.

The product of its (nonzero) digits is 53760, while the sum is 39.

The spelling of 11287564401 in words is "eleven billion, two hundred eighty-seven million, five hundred sixty-four thousand, four hundred one".