13077718752576 has 112 divisors (see below), whose sum is σ = 35125402464320. Its totient is φ = 4293259407360.

The previous prime is 13077718752529. The next prime is 13077718752607. The reversal of 13077718752576 is 67525781777031.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61499556 + ... + 61711836.

It is an arithmetic number, because the mean of its divisors is an integer number (313619664860).

Almost surely, 2^{13077718752576} is an apocalyptic number.

13077718752576 is a gapful number since it is divisible by the number (16) 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 13077718752576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17562701232160).

13077718752576 is an abundant number, since it is smaller than the sum of its proper divisors (22047683711744).

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

13077718752576 is a wasteful number, since it uses less digits than its factorization.

13077718752576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217152 (or 217142 counting only the distinct ones).

The product of its (nonzero) digits is 121010400, while the sum is 66.

The spelling of 13077718752576 in words is "thirteen trillion, seventy-seven billion, seven hundred eighteen million, seven hundred fifty-two thousand, five hundred seventy-six".