11292165376 has 72 divisors (see below), whose sum is σ = 23706998784. Its totient is φ = 5357721600.

The previous prime is 11292165359. The next prime is 11292165403. The reversal of 11292165376 is 67356129211.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 740226 + ... + 755326.

It is an arithmetic number, because the mean of its divisors is an integer number (329263872).

Almost surely, 2^11292165376 is an apocalyptic number.

11292165376 is a gapful number since it is divisible by the number (16) 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 11292165376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11853499392).

11292165376 is an abundant number, since it is smaller than the sum of its proper divisors (12414833408).

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

11292165376 is a wasteful number, since it uses less digits than its factorization.

11292165376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15267 (or 15253 counting only the distinct ones).

The product of its digits is 136080, while the sum is 43.

The spelling of 11292165376 in words is "eleven billion, two hundred ninety-two million, one hundred sixty-five thousand, three hundred seventy-six".