11712708672 has 224 divisors, whose sum is σ = 37069922304. Its totient is φ = 3193344000.

The previous prime is 11712708647. The next prime is 11712708673. The reversal of 11712708672 is 27680721711.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (11712708673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3039547 + ... + 3043397.

Almost surely, 2^11712708672 is an apocalyptic number.

11712708672 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 11712708672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18534961152).

11712708672 is an abundant number, since it is smaller than the sum of its proper divisors (25357213632).

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

11712708672 is a wasteful number, since it uses less digits than its factorization.

11712708672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3977 (or 3967 counting only the distinct ones).

The product of its (nonzero) digits is 65856, while the sum is 42.

The spelling of 11712708672 in words is "eleven billion, seven hundred twelve million, seven hundred eight thousand, six hundred seventy-two".