11325329820 has 288 divisors, whose sum is σ = 42312130560. Its totient is φ = 2504960640.

The previous prime is 11325329803. The next prime is 11325329887. The reversal of 11325329820 is 2892352311.

11325329820 is a `hidden beast` number, since 1 + 1 + 32 + 532 + 98 + 2 + 0 = 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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 813357 + ... + 827163.

It is an arithmetic number, because the mean of its divisors is an integer number (146917120).

Almost surely, 2^11325329820 is an apocalyptic number.

11325329820 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 11325329820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21156065280).

11325329820 is an abundant number, since it is smaller than the sum of its proper divisors (30986800740).

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

11325329820 is a wasteful number, since it uses less digits than its factorization.

11325329820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13870 (or 13855 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 11325329820 in words is "eleven billion, three hundred twenty-five million, three hundred twenty-nine thousand, eight hundred twenty".