11544679872 has 280 divisors, whose sum is σ = 39532529520. Its totient is φ = 3292323840.

The previous prime is 11544679847. The next prime is 11544679903. The reversal of 11544679872 is 27897644511.

11544679872 is a `hidden beast` number, since 1 + 1 + 544 + 6 + 7 + 98 + 7 + 2 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 963454 + ... + 975362.

Almost surely, 2^11544679872 is an apocalyptic number.

11544679872 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 11544679872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19766264760).

11544679872 is an abundant number, since it is smaller than the sum of its proper divisors (27987849648).

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

11544679872 is a wasteful number, since it uses less digits than its factorization.

11544679872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11961 (or 11942 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 54.

The spelling of 11544679872 in words is "eleven billion, five hundred forty-four million, six hundred seventy-nine thousand, eight hundred seventy-two".