11525345280 has 416 divisors, whose sum is σ = 43169846400. Its totient is φ = 2909011968.

The previous prime is 11525345269. The next prime is 11525345281. The reversal of 11525345280 is 8254352511.

11525345280 is a `hidden beast` number, since 1 + 1 + 525 + 3 + 4 + 52 + 80 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11525345281) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10505692 + ... + 10506788.

Almost surely, 2^11525345280 is an apocalyptic number.

11525345280 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 11525345280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21584923200).

11525345280 is an abundant number, since it is smaller than the sum of its proper divisors (31644501120).

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

11525345280 is a wasteful number, since it uses less digits than its factorization.

11525345280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1154 (or 1126 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

Adding to 11525345280 its reverse (8254352511), we get a palindrome (19779697791).

The spelling of 11525345280 in words is "eleven billion, five hundred twenty-five million, three hundred forty-five thousand, two hundred eighty".