11984691610272 has 48 divisors (see below), whose sum is σ = 31514911620192. Its totient is φ = 3987900867840.

The previous prime is 11984691610267. The next prime is 11984691610277. The reversal of 11984691610272 is 27201619648911.

It is an interprime number because it is at equal distance from previous prime (11984691610267) and next prime (11984691610277).

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (11984691610277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 109262643 + ... + 109372274.

It is an arithmetic number, because the mean of its divisors is an integer number (656560658754).

Almost surely, 2^{11984691610272} is an apocalyptic number.

11984691610272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11984691610272 is an abundant number, since it is smaller than the sum of its proper divisors (19530220009920).

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

11984691610272 is a wasteful number, since it uses less digits than its factorization.

11984691610272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218635501 (or 218635493 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 57.

The spelling of 11984691610272 in words is "eleven trillion, nine hundred eighty-four billion, six hundred ninety-one million, six hundred ten thousand, two hundred seventy-two".