11532202217680 has 80 divisors (see below), whose sum is σ = 27023986760400. Its totient is φ = 4576546381824.

The previous prime is 11532202217671. The next prime is 11532202217693. The reversal of 11532202217680 is 8671220223511.

It can be written as a sum of positive squares in 8 ways, for example, as 1893089802816 + 9639112414864 = 1375896^2 + 3104692^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9600664 + ... + 10734856.

It is an arithmetic number, because the mean of its divisors is an integer number (337799834505).

Almost surely, 2^{11532202217680} is an apocalyptic number.

11532202217680 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 11532202217680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13511993380200).

11532202217680 is an abundant number, since it is smaller than the sum of its proper divisors (15491784542720).

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

11532202217680 is a wasteful number, since it uses less digits than its factorization.

11532202217680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1135208 (or 1135202 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 40.

The spelling of 11532202217680 in words is "eleven trillion, five hundred thirty-two billion, two hundred two million, two hundred seventeen thousand, six hundred eighty".