11825484560 has 40 divisors (see below), whose sum is σ = 27593560536. Its totient is φ = 4713108480.

The previous prime is 11825484527. The next prime is 11825484607. The reversal of 11825484560 is 6548452811.

It can be written as a sum of positive squares in 4 ways, for example, as 814759936 + 11010724624 = 28544^2 + 104932^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 244661 + ... + 288980.

Almost surely, 2^11825484560 is an apocalyptic number.

11825484560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11825484560 is an abundant number, since it is smaller than the sum of its proper divisors (15768075976).

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

11825484560 is a wasteful number, since it uses less digits than its factorization.

11825484560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533931 (or 533925 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 44.

The spelling of 11825484560 in words is "eleven billion, eight hundred twenty-five million, four hundred eighty-four thousand, five hundred sixty".