11525898240 has 420 divisors, whose sum is σ = 41687881284. Its totient is φ = 3057647616.

The previous prime is 11525898233. The next prime is 11525898259. The reversal of 11525898240 is 4289852511.

11525898240 is a `hidden beast` number, since 1 + 1 + 525 + 8 + 9 + 82 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3451797504 + 8074100736 = 58752^2 + 89856^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 59719584 + ... + 59719776.

Almost surely, 2^11525898240 is an apocalyptic number.

11525898240 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 11525898240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20843940642).

11525898240 is an abundant number, since it is smaller than the sum of its proper divisors (30161983044).

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

11525898240 is an frugal number, since it uses more digits than its factorization.

11525898240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 11525898240 in words is "eleven billion, five hundred twenty-five million, eight hundred ninety-eight thousand, two hundred forty".