11587919616 has 864 divisors, whose sum is σ = 44998087680. Its totient is φ = 2890432512.

The previous prime is 11587919597. The next prime is 11587919647. The reversal of 11587919616 is 61691978511.

It is a happy number.

11587919616 is a `hidden beast` number, since 1 + 1 + 5 + 8 + 7 + 9 + 19 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 130201300 + ... + 130201388.

It is an arithmetic number, because the mean of its divisors is an integer number (52081120).

Almost surely, 2^11587919616 is an apocalyptic number.

11587919616 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 11587919616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22499043840).

11587919616 is an abundant number, since it is smaller than the sum of its proper divisors (33410168064).

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

11587919616 is an equidigital number, since it uses as much as digits as its factorization.

11587919616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 137 counting only the distinct ones).

The product of its digits is 816480, while the sum is 54.

The spelling of 11587919616 in words is "eleven billion, five hundred eighty-seven million, nine hundred nineteen thousand, six hundred sixteen".