11985268360 has 128 divisors (see below), whose sum is σ = 30116136960. Its totient is φ = 4262860800.

The previous prime is 11985268333. The next prime is 11985268403. The reversal of 11985268360 is 6386258911.

It is a super-2 number, since 2×11985268360² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3754365 + ... + 3757555.

It is an arithmetic number, because the mean of its divisors is an integer number (235282320).

Almost surely, 2^11985268360 is an apocalyptic number.

11985268360 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 11985268360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15058068480).

11985268360 is an abundant number, since it is smaller than the sum of its proper divisors (18130868600).

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

11985268360 is a wasteful number, since it uses less digits than its factorization.

11985268360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3479 (or 3475 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 49.

The spelling of 11985268360 in words is "eleven billion, nine hundred eighty-five million, two hundred sixty-eight thousand, three hundred sixty".