11213705529600 has 432 divisors, whose sum is σ = 42365271782400. Its totient is φ = 2558835302400.

The previous prime is 11213705529553. The next prime is 11213705529703. The reversal of 11213705529600 is 692550731211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 47 ways as a sum of consecutive naturals, for example, 80435955 + ... + 80575245.

Almost surely, 2^{11213705529600} is an apocalyptic number.

11213705529600 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 11213705529600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21182635891200).

11213705529600 is an abundant number, since it is smaller than the sum of its proper divisors (31151566252800).

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

11213705529600 is a wasteful number, since it uses less digits than its factorization.

11213705529600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139926 (or 139907 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 42.

The spelling of 11213705529600 in words is "eleven trillion, two hundred thirteen billion, seven hundred five million, five hundred twenty-nine thousand, six hundred".