11985942672 has 480 divisors, whose sum is σ = 41225932800. Its totient is φ = 3207859200.

The previous prime is 11985942671. The next prime is 11985942673. The reversal of 11985942672 is 27624958911.

It is a happy number.

11985942672 is a `hidden beast` number, since 11 + 98 + 59 + 426 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (11985942671) and next prime (11985942673).

It is not an unprimeable number, because it can be changed into a prime (11985942671) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27056083 + ... + 27056525.

It is an arithmetic number, because the mean of its divisors is an integer number (85887360).

Almost surely, 2^11985942672 is an apocalyptic number.

11985942672 is a gapful number since it is divisible by the number (12) 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 11985942672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20612966400).

11985942672 is an abundant number, since it is smaller than the sum of its proper divisors (29239990128).

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

11985942672 is a wasteful number, since it uses less digits than its factorization.

11985942672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547 (or 538 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 54.

The spelling of 11985942672 in words is "eleven billion, nine hundred eighty-five million, nine hundred forty-two thousand, six hundred seventy-two".