1338565765680 has 800 divisors, whose sum is σ = 5503998221568. Its totient is φ = 297225676800.

The previous prime is 1338565765657. The next prime is 1338565765703. The reversal of 1338565765680 is 865675658331.

It is a happy number.

1338565765680 is a `hidden beast` number, since 1 + 3 + 3 + 8 + 5 + 6 + 576 + 56 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1338565765657) and next prime (1338565765703).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 121384327 + ... + 121395353.

Almost surely, 2^{1338565765680} is an apocalyptic number.

1338565765680 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 1338565765680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2751999110784).

1338565765680 is an abundant number, since it is smaller than the sum of its proper divisors (4165432455888).

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

1338565765680 is a wasteful number, since it uses less digits than its factorization.

1338565765680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11207 (or 11192 counting only the distinct ones).

The product of its (nonzero) digits is 108864000, while the sum is 63.

The spelling of 1338565765680 in words is "one trillion, three hundred thirty-eight billion, five hundred sixty-five million, seven hundred sixty-five thousand, six hundred eighty".