11111009952 has 48 divisors (see below), whose sum is σ = 33333031872. Its totient is φ = 3174574080.

The previous prime is 11111009933. The next prime is 11111009953. The reversal of 11111009952 is 25990011111.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (11111009953) 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 7 ways as a sum of consecutive naturals, for example, 8266449 + ... + 8267792.

It is an arithmetic number, because the mean of its divisors is an integer number (694438164).

Almost surely, 2^11111009952 is an apocalyptic number.

11111009952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11111009952 is an abundant number, since it is smaller than the sum of its proper divisors (22222021920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11111009952 is a wasteful number, since it uses less digits than its factorization.

11111009952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16534261 (or 16534253 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 30.

The spelling of 11111009952 in words is "eleven billion, one hundred eleven million, nine thousand, nine hundred fifty-two".