11452166605200 has 720 divisors, whose sum is σ = 40532757737472. Its totient is φ = 2760186240000.

The previous prime is 11452166605183. The next prime is 11452166605207. The reversal of 11452166605200 is 250666125411.

It is not an unprimeable number, because it can be changed into a prime (11452166605207) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 953467195 + ... + 953479205.

Almost surely, 2^{11452166605200} is an apocalyptic number.

11452166605200 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 11452166605200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20266378868736).

11452166605200 is an abundant number, since it is smaller than the sum of its proper divisors (29080591132272).

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

11452166605200 is a wasteful number, since it uses less digits than its factorization.

11452166605200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12172 (or 12142 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The spelling of 11452166605200 in words is "eleven trillion, four hundred fifty-two billion, one hundred sixty-six million, six hundred five thousand, two hundred".