11828877120 has 280 divisors, whose sum is σ = 44293840800. Its totient is φ = 2988223488.

The previous prime is 11828877107. The next prime is 11828877121. The reversal of 11828877120 is 2177882811.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11828877121) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 480471 + ... + 504489.

Almost surely, 2^11828877120 is an apocalyptic number.

11828877120 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 11828877120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22146920400).

11828877120 is an abundant number, since it is smaller than the sum of its proper divisors (32464963680).

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

11828877120 is a wasteful number, since it uses less digits than its factorization.

11828877120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24067 (or 24048 counting only the distinct ones).

The product of its (nonzero) digits is 100352, while the sum is 45.

The spelling of 11828877120 in words is "eleven billion, eight hundred twenty-eight million, eight hundred seventy-seven thousand, one hundred twenty".