11082507321600 has 2187 divisors, whose sum is σ = 47651016649509. Its totient is φ = 2454434611200.

The previous prime is 11082507321569. The next prime is 11082507321601. The reversal of 11082507321600 is 612370528011.

The square root of 11082507321600 is 3329040.

It is a perfect power (a square), and thus also a powerful number.

11082507321600 is a `hidden beast` number, since 1 + 1 + 0 + 8 + 25 + 0 + 7 + 3 + 21 + 600 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 10637095239936 + 445412081664 = 3261456^2 + 667392^2 .

It is a super-3 number, since 3×11082507321600³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (11082507321601) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 114252652752 + ... + 114252652848.

Almost surely, 2^{11082507321600} is an apocalyptic number.

11082507321600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11082507321600 is the 3329040-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11082507321600

11082507321600 is an abundant number, since it is smaller than the sum of its proper divisors (36568509327909).

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

11082507321600 is a wasteful number, since it uses less digits than its factorization.

11082507321600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

Multiplying 11082507321600 by its sum of digits (36), we get a square (398970263577600 = 19974240²).

11082507321600 divided by its sum of digits (36) gives a square (307847425600 = 554840²).

Adding to 11082507321600 its reverse (612370528011), we get a palindrome (11694877849611).

The spelling of 11082507321600 in words is "eleven trillion, eighty-two billion, five hundred seven million, three hundred twenty-one thousand, six hundred".