1355063863680 has 768 divisors, whose sum is σ = 5442133132800. Its totient is φ = 308176551936.

The previous prime is 1355063863633. The next prime is 1355063863693. The reversal of 1355063863680 is 863683605531.

1355063863680 is a `hidden beast` number, since 1 + 3 + 550 + 6 + 3 + 8 + 6 + 3 + 6 + 80 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42775207 + ... + 42806873.

It is an arithmetic number, because the mean of its divisors is an integer number (7086110850).

Almost surely, 2^{1355063863680} is an apocalyptic number.

1355063863680 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 1355063863680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2721066566400).

1355063863680 is an abundant number, since it is smaller than the sum of its proper divisors (4087069269120).

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

1355063863680 is a wasteful number, since it uses less digits than its factorization.

1355063863680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31751 (or 31736 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 1355063863680 in words is "one trillion, three hundred fifty-five billion, sixty-three million, eight hundred sixty-three thousand, six hundred eighty".