13765768755264 has 224 divisors, whose sum is σ = 42573860496000. Its totient is φ = 4355270535168.

The previous prime is 13765768755077. The next prime is 13765768755281. The reversal of 13765768755264 is 46255786756731.

13765768755264 is a `hidden beast` number, since 1 + 3 + 7 + 6 + 5 + 7 + 6 + 8 + 7 + 552 + 64 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 13765768755192 and 13765768755201.

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 31 ways as a sum of consecutive naturals, for example, 628642 + ... + 5284574.

Almost surely, 2^{13765768755264} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13765768755264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21286930248000).

13765768755264 is an abundant number, since it is smaller than the sum of its proper divisors (28808091740736).

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

13765768755264 is a wasteful number, since it uses less digits than its factorization.

13765768755264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4656042 (or 4656026 counting only the distinct ones).

The product of its digits is 1778112000, while the sum is 72.

The spelling of 13765768755264 in words is "thirteen trillion, seven hundred sixty-five billion, seven hundred sixty-eight million, seven hundred fifty-five thousand, two hundred sixty-four".