13750005541680 has 60 divisors (see below), whose sum is σ = 46177101946560. Its totient is φ = 3666668144256.

The previous prime is 13750005541637. The next prime is 13750005541709. The reversal of 13750005541680 is 8614550005731.

13750005541680 is a `hidden beast` number, since 1 + 3 + 7 + 5 + 0 + 0 + 0 + 554 + 16 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9548614240 + ... + 9548615679.

It is an arithmetic number, because the mean of its divisors is an integer number (769618365776).

Almost surely, 2^{13750005541680} is an apocalyptic number.

13750005541680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13750005541680 is an abundant number, since it is smaller than the sum of its proper divisors (32427096404880).

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

13750005541680 is a wasteful number, since it uses less digits than its factorization.

13750005541680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19097229938 (or 19097229929 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The spelling of 13750005541680 in words is "thirteen trillion, seven hundred fifty billion, five million, five hundred forty-one thousand, six hundred eighty".