12890353491360 has 480 divisors, whose sum is σ = 49431288614400. Its totient is φ = 3151459768320.

The previous prime is 12890353491293. The next prime is 12890353491361. The reversal of 12890353491360 is 6319435309821.

12890353491360 is a `hidden beast` number, since 1 + 2 + 8 + 90 + 3 + 5 + 3 + 491 + 3 + 60 = 666.

12890353491360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×12890353491360² (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 12890353491297 and 12890353491306.

It is not an unprimeable number, because it can be changed into a prime (12890353491361) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6789106 + ... + 8477774.

It is an arithmetic number, because the mean of its divisors is an integer number (102981851280).

Almost surely, 2^{12890353491360} is an apocalyptic number.

12890353491360 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 12890353491360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24715644307200).

12890353491360 is an abundant number, since it is smaller than the sum of its proper divisors (36540935123040).

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

12890353491360 is a wasteful number, since it uses less digits than its factorization.

12890353491360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1688746 (or 1688729 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 12890353491360 in words is "twelve trillion, eight hundred ninety billion, three hundred fifty-three million, four hundred ninety-one thousand, three hundred sixty".