13761765540640 has 48 divisors (see below), whose sum is σ = 35013107332728. Its totient is φ = 5081267275776.

The previous prime is 13761765540617. The next prime is 13761765540667. The reversal of 13761765540640 is 4604556716731.

It can be written as a sum of positive squares in 4 ways, for example, as 11615036551056 + 2146728989584 = 3408084^2 + 1465172^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3308114637 + ... + 3308118796.

Almost surely, 2^{13761765540640} is an apocalyptic number.

13761765540640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13761765540640 is an abundant number, since it is smaller than the sum of its proper divisors (21251341792088).

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

13761765540640 is a wasteful number, since it uses less digits than its factorization.

13761765540640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6616233461 (or 6616233453 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 55.

The spelling of 13761765540640 in words is "thirteen trillion, seven hundred sixty-one billion, seven hundred sixty-five million, five hundred forty thousand, six hundred forty".