12988507610880 has 1152 divisors, whose sum is σ = 49198662696960. Its totient is φ = 3238956564480.

The previous prime is 12988507610867. The next prime is 12988507610887. The reversal of 12988507610880 is 8801670588921.

12988507610880 is a `hidden beast` number, since 1 + 2 + 9 + 8 + 8 + 5 + 0 + 7 + 610 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12988507610887) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6223529197 + ... + 6223531283.

It is an arithmetic number, because the mean of its divisors is an integer number (42707172480).

Almost surely, 2^{12988507610880} is an apocalyptic number.

12988507610880 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 12988507610880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24599331348480).

12988507610880 is an abundant number, since it is smaller than the sum of its proper divisors (36210155086080).

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

12988507610880 is a wasteful number, since it uses less digits than its factorization.

12988507610880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2342 (or 2322 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 63.

The spelling of 12988507610880 in words is "twelve trillion, nine hundred eighty-eight billion, five hundred seven million, six hundred ten thousand, eight hundred eighty".