11847869075952 has 1080 divisors, whose sum is σ = 45762242185296. Its totient is φ = 2940728426496.

The previous prime is 11847869075941. The next prime is 11847869075953. The reversal of 11847869075952 is 25957096874811.

It is a happy number.

11847869075952 is a `hidden beast` number, since 1 + 1 + 8 + 478 + 69 + 0 + 7 + 5 + 95 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11847869075953) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 715745308 + ... + 715761860.

Almost surely, 2^{11847869075952} is an apocalyptic number.

11847869075952 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 11847869075952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22881121092648).

11847869075952 is an abundant number, since it is smaller than the sum of its proper divisors (33914373109344).

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

11847869075952 is a wasteful number, since it uses less digits than its factorization.

11847869075952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16637 (or 16595 counting only the distinct ones).

The product of its (nonzero) digits is 304819200, while the sum is 72.

The spelling of 11847869075952 in words is "eleven trillion, eight hundred forty-seven billion, eight hundred sixty-nine million, seventy-five thousand, nine hundred fifty-two".