11841527087104 has 513 divisors, whose sum is σ = 28800722258301. Its totient is φ = 4862760714240.

The previous prime is 11841527087081. The next prime is 11841527087107. The reversal of 11841527087104 is 40178072514811.

It is a happy number.

The square root of 11841527087104 is 3441152.

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

It can be written as a sum of positive squares in only one way, i.e., 1751705190400 + 10089821896704 = 1323520^2 + 3176448^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11841527087107) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 251947384809 + ... + 251947384855.

Almost surely, 2^{11841527087104} is an apocalyptic number.

11841527087104 is the 3441152-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11841527087104

11841527087104 is an abundant number, since it is smaller than the sum of its proper divisors (16959195171197).

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

11841527087104 is an frugal number, since it uses more digits than its factorization.

11841527087104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 49.

Multiplying 11841527087104 by its sum of digits (49), we get a square (580234827268096 = 24088064²).

The spelling of 11841527087104 in words is "eleven trillion, eight hundred forty-one billion, five hundred twenty-seven million, eighty-seven thousand, one hundred four".