11587829760 has 720 divisors, whose sum is σ = 46052052480. Its totient is φ = 2760376320.

The previous prime is 11587829749. The next prime is 11587829767. The reversal of 11587829760 is 6792878511.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 11587829697 and 11587829706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11587829767) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 373800945 + ... + 373800975.

It is an arithmetic number, because the mean of its divisors is an integer number (63961184).

Almost surely, 2^11587829760 is an apocalyptic number.

11587829760 is a gapful number since it is divisible by the number (10) 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 11587829760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23026026240).

11587829760 is an abundant number, since it is smaller than the sum of its proper divisors (34464222720).

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

11587829760 is an equidigital number, since it uses as much as digits as its factorization.

11587829760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 54.

The spelling of 11587829760 in words is "eleven billion, five hundred eighty-seven million, eight hundred twenty-nine thousand, seven hundred sixty".