11688505920 has 672 divisors, whose sum is σ = 50077128192. Its totient is φ = 2436562944.

The previous prime is 11688505889. The next prime is 11688505957. The reversal of 11688505920 is 2950588611.

It is a happy number.

11688505920 is a `hidden beast` number, since 1 + 1 + 6 + 8 + 8 + 50 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 26994024 + ... + 26994456.

It is an arithmetic number, because the mean of its divisors is an integer number (74519536).

Almost surely, 2^11688505920 is an apocalyptic number.

11688505920 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 11688505920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25038564096).

11688505920 is an abundant number, since it is smaller than the sum of its proper divisors (38388622272).

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

11688505920 is a wasteful number, since it uses less digits than its factorization.

11688505920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 45.

The spelling of 11688505920 in words is "eleven billion, six hundred eighty-eight million, five hundred five thousand, nine hundred twenty".