11895298560 has 240 divisors, whose sum is σ = 41666830920. Its totient is φ = 3135897600.

The previous prime is 11895298559. The next prime is 11895298601. The reversal of 11895298560 is 6589259811.

It can be written as a sum of positive squares in 4 ways, for example, as 10839308544 + 1055990016 = 104112^2 + 32496^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 11895298497 and 11895298506.

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, 2047660 + ... + 2053460.

Almost surely, 2^11895298560 is an apocalyptic number.

11895298560 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 11895298560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20833415460).

11895298560 is an abundant number, since it is smaller than the sum of its proper divisors (29771532360).

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

11895298560 is an equidigital number, since it uses as much as digits as its factorization.

11895298560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5919 (or 5900 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 54.

The spelling of 11895298560 in words is "eleven billion, eight hundred ninety-five million, two hundred ninety-eight thousand, five hundred sixty".