11687300352 has 576 divisors, whose sum is σ = 45080501760. Its totient is φ = 2898395136.

The previous prime is 11687300333. The next prime is 11687300377. The reversal of 11687300352 is 25300378611.

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

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

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 10692318 + ... + 10693410.

It is an arithmetic number, because the mean of its divisors is an integer number (78264760).

Almost surely, 2^11687300352 is an apocalyptic number.

11687300352 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 11687300352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22540250880).

11687300352 is an abundant number, since it is smaller than the sum of its proper divisors (33393201408).

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

11687300352 is a wasteful number, since it uses less digits than its factorization.

11687300352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1155 (or 1135 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

Adding to 11687300352 its reverse (25300378611), we get a palindrome (36987678963).

The spelling of 11687300352 in words is "eleven billion, six hundred eighty-seven million, three hundred thousand, three hundred fifty-two".