11569895680 has 216 divisors, whose sum is σ = 33355075320. Its totient is φ = 3829432320.

The previous prime is 11569895653. The next prime is 11569895761. The reversal of 11569895680 is 8659896511.

It can be written as a sum of positive squares in 4 ways, for example, as 462422016 + 11107473664 = 21504^2 + 105392^2 .

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1815700 + ... + 1822060.

It is an arithmetic number, because the mean of its divisors is an integer number (154421645).

Almost surely, 2^11569895680 is an apocalyptic number.

11569895680 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 11569895680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16677537660).

11569895680 is an abundant number, since it is smaller than the sum of its proper divisors (21785179640).

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

11569895680 is an equidigital number, since it uses as much as digits as its factorization.

11569895680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6425 (or 6404 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 58.

The spelling of 11569895680 in words is "eleven billion, five hundred sixty-nine million, eight hundred ninety-five thousand, six hundred eighty".