1353344287680 has 1344 divisors, whose sum is σ = 6274843960320. Its totient is φ = 259183411200.

The previous prime is 1353344287679. The next prime is 1353344287703. The reversal of 1353344287680 is 867824433531.

It is a happy number.

1353344287680 is a `hidden beast` number, since 1 + 3 + 53 + 3 + 442 + 8 + 76 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 155892940 + ... + 155901620.

Almost surely, 2^{1353344287680} is an apocalyptic number.

1353344287680 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 1353344287680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3137421980160).

1353344287680 is an abundant number, since it is smaller than the sum of its proper divisors (4921499672640).

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

1353344287680 is a wasteful number, since it uses less digits than its factorization.

1353344287680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8778 (or 8765 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 1353344287680 in words is "one trillion, three hundred fifty-three billion, three hundred forty-four million, two hundred eighty-seven thousand, six hundred eighty".