11042686152 has 128 divisors (see below), whose sum is σ = 32376240000. Its totient is φ = 3477696768.

The previous prime is 11042686103. The next prime is 11042686153. The reversal of 11042686152 is 25168624011.

It is a happy number.

11042686152 is a `hidden beast` number, since 1 + 1 + 0 + 426 + 86 + 152 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (11042686153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1592998 + ... + 1599914.

It is an arithmetic number, because the mean of its divisors is an integer number (252939375).

Almost surely, 2^11042686152 is an apocalyptic number.

11042686152 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 11042686152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16188120000).

11042686152 is an abundant number, since it is smaller than the sum of its proper divisors (21333553848).

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

11042686152 is a wasteful number, since it uses less digits than its factorization.

11042686152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7340 (or 7330 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 11042686152 in words is "eleven billion, forty-two million, six hundred eighty-six thousand, one hundred fifty-two".