11997857839968 has 2304 divisors, whose sum is σ = 49189690368000. Its totient is φ = 2834452776960.

The previous prime is 11997857839931. The next prime is 11997857839987. The reversal of 11997857839968 is 86993875879911.

11997857839968 is a `hidden beast` number, since 1 + 1 + 9 + 97 + 8 + 5 + 78 + 399 + 68 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 31656616803 + ... + 31656617181.

It is an arithmetic number, because the mean of its divisors is an integer number (21349692000).

Almost surely, 2^{11997857839968} is an apocalyptic number.

11997857839968 is a gapful number since it is divisible by the number (18) 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 11997857839968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24594845184000).

11997857839968 is an abundant number, since it is smaller than the sum of its proper divisors (37191832528032).

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

11997857839968 is a wasteful number, since it uses less digits than its factorization.

11997857839968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 498 counting only the distinct ones).

The product of its digits is 14814213120, while the sum is 90.

The spelling of 11997857839968 in words is "eleven trillion, nine hundred ninety-seven billion, eight hundred fifty-seven million, eight hundred thirty-nine thousand, nine hundred sixty-eight".