11525261365504 has 144 divisors (see below), whose sum is σ = 24972623642736. Its totient is φ = 5287182336000.

The previous prime is 11525261365459. The next prime is 11525261365511. The reversal of 11525261365504 is 40556316252511.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 305977135104 + 11219284230400 = 553152^2 + 3349520^2 .

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 15 ways as a sum of consecutive naturals, for example, 231401404 + ... + 231451204.

It is an arithmetic number, because the mean of its divisors is an integer number (173420997519).

Almost surely, 2^{11525261365504} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11525261365504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12486311821368).

11525261365504 is an abundant number, since it is smaller than the sum of its proper divisors (13447362277232).

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

11525261365504 is a wasteful number, since it uses less digits than its factorization.

11525261365504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51172 (or 51158 counting only the distinct ones).

The product of its (nonzero) digits is 1080000, while the sum is 46.

The spelling of 11525261365504 in words is "eleven trillion, five hundred twenty-five billion, two hundred sixty-one million, three hundred sixty-five thousand, five hundred four".