11869487529984 has 768 divisors, whose sum is σ = 40608564572160. Its totient is φ = 3270479708160.

The previous prime is 11869487529959. The next prime is 11869487529989. The reversal of 11869487529984 is 48992578496811.

11869487529984 is a `hidden beast` number, since 1 + 1 + 8 + 6 + 9 + 4 + 8 + 7 + 529 + 9 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is not an unprimeable number, because it can be changed into a prime (11869487529989) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6888848547 + ... + 6888850269.

It is an arithmetic number, because the mean of its divisors is an integer number (52875735120).

Almost surely, 2^{11869487529984} is an apocalyptic number.

11869487529984 is a gapful number since it is divisible by the number (14) 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 11869487529984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20304282286080).

11869487529984 is an abundant number, since it is smaller than the sum of its proper divisors (28739077042176).

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

11869487529984 is an equidigital number, since it uses as much as digits as its factorization.

11869487529984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1884 (or 1853 counting only the distinct ones).

The product of its digits is 2508226560, while the sum is 81.

The spelling of 11869487529984 in words is "eleven trillion, eight hundred sixty-nine billion, four hundred eighty-seven million, five hundred twenty-nine thousand, nine hundred eighty-four".