11829177728 has 64 divisors (see below), whose sum is σ = 25012048320. Its totient is φ = 5553315840.

The previous prime is 11829177709. The next prime is 11829177739. The reversal of 11829177728 is 82777192811.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×11829177728² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11829177728.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 931550 + ... + 944162.

It is an arithmetic number, because the mean of its divisors is an integer number (390813255).

Almost surely, 2^11829177728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11829177728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12506024160).

11829177728 is an abundant number, since it is smaller than the sum of its proper divisors (13182870592).

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

11829177728 is a wasteful number, since it uses less digits than its factorization.

11829177728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13075 (or 13063 counting only the distinct ones).

The product of its digits is 790272, while the sum is 53.

The spelling of 11829177728 in words is "eleven billion, eight hundred twenty-nine million, one hundred seventy-seven thousand, seven hundred twenty-eight".