11152544520000 has 560 divisors, whose sum is σ = 41435916762240. Its totient is φ = 2625874944000.

The previous prime is 11152544519999. The next prime is 11152544520043. The reversal of 11152544520000 is 2544525111.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 11152544520000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 35724586 + ... + 36035414.

It is an arithmetic number, because the mean of its divisors is an integer number (73992708504).

Almost surely, 2^{11152544520000} is an apocalyptic number.

11152544520000 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 11152544520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20717958381120).

11152544520000 is an abundant number, since it is smaller than the sum of its proper divisors (30283372242240).

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

11152544520000 is a wasteful number, since it uses less digits than its factorization.

11152544520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310900 (or 310875 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 30.

The spelling of 11152544520000 in words is "eleven trillion, one hundred fifty-two billion, five hundred forty-four million, five hundred twenty thousand".