11675252736 has 576 divisors, whose sum is σ = 41827968000. Its totient is φ = 3204956160.

The previous prime is 11675252723. The next prime is 11675252759. The reversal of 11675252736 is 63725257611.

It is a happy number.

11675252736 is a `hidden beast` number, since 11 + 67 + 52 + 527 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a junction number, because it is equal to n+sod(n) for n = 11675252691 and 11675252700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 83994555 + ... + 83994693.

It is an arithmetic number, because the mean of its divisors is an integer number (72618000).

Almost surely, 2^11675252736 is an apocalyptic number.

11675252736 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 11675252736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20913984000).

11675252736 is an abundant number, since it is smaller than the sum of its proper divisors (30152715264).

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

11675252736 is a wasteful number, since it uses less digits than its factorization.

11675252736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 182 counting only the distinct ones).

The product of its digits is 529200, while the sum is 45.

The spelling of 11675252736 in words is "eleven billion, six hundred seventy-five million, two hundred fifty-two thousand, seven hundred thirty-six".