11552220120510 has 192 divisors, whose sum is σ = 33698113413120. Its totient is φ = 2728590105600.

The previous prime is 11552220120499. The next prime is 11552220120517. The reversal of 11552220120510 is 1502102225511.

11552220120510 is a `hidden beast` number, since 1 + 1 + 5 + 5 + 2 + 2 + 20 + 120 + 510 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11552220120517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3073699 + ... + 5705441.

It is an arithmetic number, because the mean of its divisors is an integer number (175511007360).

Almost surely, 2^{11552220120510} is an apocalyptic number.

11552220120510 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11552220120510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16849056706560).

11552220120510 is an abundant number, since it is smaller than the sum of its proper divisors (22145893292610).

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

11552220120510 is a wasteful number, since it uses less digits than its factorization.

11552220120510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2631943 (or 2631940 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 27.

The spelling of 11552220120510 in words is "eleven trillion, five hundred fifty-two billion, two hundred twenty million, one hundred twenty thousand, five hundred ten".