11508221831120 has 640 divisors, whose sum is σ = 33651057623040. Its totient is φ = 3570692751360.

The previous prime is 11508221831101. The next prime is 11508221831143. The reversal of 11508221831120 is 2113812280511.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8053338566 + ... + 8053339994.

It is an arithmetic number, because the mean of its divisors is an integer number (52579777536).

Almost surely, 2^{11508221831120} is an apocalyptic number.

11508221831120 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 11508221831120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16825528811520).

11508221831120 is an abundant number, since it is smaller than the sum of its proper divisors (22142835791920).

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

11508221831120 is a wasteful number, since it uses less digits than its factorization.

11508221831120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1803 (or 1797 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 35.

The spelling of 11508221831120 in words is "eleven trillion, five hundred eight billion, two hundred twenty-one million, eight hundred thirty-one thousand, one hundred twenty".