12988419333660 has 288 divisors, whose sum is σ = 40237332774912. Its totient is φ = 3390525895680.

The previous prime is 12988419333647. The next prime is 12988419333667. The reversal of 12988419333660 is 6633391488921.

12988419333660 is a `hidden beast` number, since 1 + 2 + 9 + 8 + 84 + 193 + 3 + 366 + 0 = 666.

12988419333660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12988419333667) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1297928377 + ... + 1297938383.

It is an arithmetic number, because the mean of its divisors is an integer number (139712961024).

Almost surely, 2^{12988419333660} is an apocalyptic number.

12988419333660 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 12988419333660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20118666387456).

12988419333660 is an abundant number, since it is smaller than the sum of its proper divisors (27248913441252).

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

12988419333660 is a wasteful number, since it uses less digits than its factorization.

12988419333660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10753 (or 10748 counting only the distinct ones).

The product of its (nonzero) digits is 40310784, while the sum is 63.

The spelling of 12988419333660 in words is "twelve trillion, nine hundred eighty-eight billion, four hundred nineteen million, three hundred thirty-three thousand, six hundred sixty".