11005981152 has 96 divisors (see below), whose sum is σ = 30628668672. Its totient is φ = 3448510464.

The previous prime is 11005981141. The next prime is 11005981153. The reversal of 11005981152 is 25118950011.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×11005981152² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11005981153) 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, 1443783 + ... + 1451385.

It is an arithmetic number, because the mean of its divisors is an integer number (319048632).

Almost surely, 2^11005981152 is an apocalyptic number.

11005981152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11005981152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15314334336).

11005981152 is an abundant number, since it is smaller than the sum of its proper divisors (19622687520).

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

11005981152 is a wasteful number, since it uses less digits than its factorization.

11005981152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8520 (or 8512 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 33.

The spelling of 11005981152 in words is "eleven billion, five million, nine hundred eighty-one thousand, one hundred fifty-two".