11729809152 has 144 divisors (see below), whose sum is σ = 35007588000. Its totient is φ = 3873816576.

The previous prime is 11729809127. The next prime is 11729809159. The reversal of 11729809152 is 25190892711.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 11729809098 and 11729809107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11729809159) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 745624 + ... + 761192.

It is an arithmetic number, because the mean of its divisors is an integer number (243108250).

Almost surely, 2^11729809152 is an apocalyptic number.

11729809152 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 11729809152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17503794000).

11729809152 is an abundant number, since it is smaller than the sum of its proper divisors (23277778848).

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

11729809152 is a wasteful number, since it uses less digits than its factorization.

11729809152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15703 (or 15683 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 45.

The spelling of 11729809152 in words is "eleven billion, seven hundred twenty-nine million, eight hundred nine thousand, one hundred fifty-two".