11523709152 has 216 divisors, whose sum is σ = 34798589280. Its totient is φ = 3616773120.

The previous prime is 11523709129. The next prime is 11523709177. The reversal of 11523709152 is 25190732511.

11523709152 is a `hidden beast` number, since 1 + 152 + 370 + 91 + 52 = 666.

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 (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 28175124 + ... + 28175532.

It is an arithmetic number, because the mean of its divisors is an integer number (161104580).

Almost surely, 2^11523709152 is an apocalyptic number.

11523709152 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 11523709152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17399294640).

11523709152 is an abundant number, since it is smaller than the sum of its proper divisors (23274880128).

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

11523709152 is a wasteful number, since it uses less digits than its factorization.

11523709152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 36.

The spelling of 11523709152 in words is "eleven billion, five hundred twenty-three million, seven hundred nine thousand, one hundred fifty-two".