12652893587880 has 1536 divisors, whose sum is σ = 54345148300800. Its totient is φ = 2593924300800.

The previous prime is 12652893587849. The next prime is 12652893587881. The reversal of 12652893587880 is 8878539825621.

It is a happy number.

12652893587880 is a `hidden beast` number, since 1 + 2 + 6 + 52 + 89 + 358 + 78 + 80 = 666.

12652893587880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12652893587880² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 12652893587799 and 12652893587808.

It is not an unprimeable number, because it can be changed into a prime (12652893587881) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 8264462715 + ... + 8264464245.

It is an arithmetic number, because the mean of its divisors is an integer number (35380955925).

Almost surely, 2^{12652893587880} is an apocalyptic number.

12652893587880 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 12652893587880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27172574150400).

12652893587880 is an abundant number, since it is smaller than the sum of its proper divisors (41692254712920).

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

12652893587880 is a wasteful number, since it uses less digits than its factorization.

12652893587880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1912 (or 1895 counting only the distinct ones).

The product of its (nonzero) digits is 464486400, while the sum is 72.

The spelling of 12652893587880 in words is "twelve trillion, six hundred fifty-two billion, eight hundred ninety-three million, five hundred eighty-seven thousand, eight hundred eighty".