11978833565952 has 324 divisors, whose sum is σ = 38022971718732. Its totient is φ = 3624232550400.

The previous prime is 11978833565891. The next prime is 11978833565957. The reversal of 11978833565952 is 25956533887911.

11978833565952 is a `hidden beast` number, since 1 + 1 + 9 + 7 + 8 + 8 + 3 + 3 + 565 + 9 + 52 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5042647501056 + 6936186064896 = 2245584^2 + 2633664^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (11978833565957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 178667028 + ... + 178734060.

Almost surely, 2^{11978833565952} is an apocalyptic number.

11978833565952 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 11978833565952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19011485859366).

11978833565952 is an abundant number, since it is smaller than the sum of its proper divisors (26044138152780).

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

11978833565952 is a wasteful number, since it uses less digits than its factorization.

11978833565952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67718 (or 67690 counting only the distinct ones).

The product of its digits is 489888000, while the sum is 72.

The spelling of 11978833565952 in words is "eleven trillion, nine hundred seventy-eight billion, eight hundred thirty-three million, five hundred sixty-five thousand, nine hundred fifty-two".