13757554676808 has 256 divisors, whose sum is σ = 39151848960000. Its totient is φ = 4474495584000.

The previous prime is 13757554676807. The next prime is 13757554676821. The reversal of 13757554676808 is 80867645575731.

13757554676808 is a `hidden beast` number, since 1 + 3 + 7 + 5 + 7 + 5 + 546 + 76 + 8 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (13757554676807) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 2066005783 + ... + 2066012441.

It is an arithmetic number, because the mean of its divisors is an integer number (152936910000).

Almost surely, 2^{13757554676808} is an apocalyptic number.

13757554676808 is a gapful number since it is divisible by the number (18) 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 13757554676808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19575924480000).

13757554676808 is an abundant number, since it is smaller than the sum of its proper divisors (25394294283192).

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

13757554676808 is a wasteful number, since it uses less digits than its factorization.

13757554676808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7697 (or 7687 counting only the distinct ones).

The product of its (nonzero) digits is 1185408000, while the sum is 72.

The spelling of 13757554676808 in words is "thirteen trillion, seven hundred fifty-seven billion, five hundred fifty-four million, six hundred seventy-six thousand, eight hundred eight".