12087643680 has 288 divisors, whose sum is σ = 47790497664. Its totient is φ = 2724876288.

The previous prime is 12087643639. The next prime is 12087643709. The reversal of 12087643680 is 8634678021.

12087643680 is a `hidden beast` number, since 1 + 208 + 7 + 6 + 436 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×12087643680² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 727627 + ... + 744053.

It is an arithmetic number, because the mean of its divisors is an integer number (165939228).

Almost surely, 2^12087643680 is an apocalyptic number.

12087643680 is a gapful number since it is divisible by the number (10) 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 12087643680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23895248832).

12087643680 is an abundant number, since it is smaller than the sum of its proper divisors (35702853984).

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

12087643680 is a wasteful number, since it uses less digits than its factorization.

12087643680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16528 (or 16517 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 12087643680 in words is "twelve billion, eighty-seven million, six hundred forty-three thousand, six hundred eighty".