13077952781184 has 384 divisors, whose sum is σ = 38660193000000. Its totient is φ = 4242008309760.

The previous prime is 13077952781183. The next prime is 13077952781209. The reversal of 13077952781184 is 48118725977031.

13077952781184 is a `hidden beast` number, since 1 + 30 + 7 + 79 + 527 + 8 + 1 + 1 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13077952781183) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9566899669 + ... + 9566901035.

Almost surely, 2^{13077952781184} 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 13077952781184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19330096500000).

13077952781184 is an abundant number, since it is smaller than the sum of its proper divisors (25582240218816).

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

13077952781184 is a wasteful number, since it uses less digits than its factorization.

13077952781184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2806 (or 2791 counting only the distinct ones).

The product of its (nonzero) digits is 23708160, while the sum is 63.

The spelling of 13077952781184 in words is "thirteen trillion, seventy-seven billion, nine hundred fifty-two million, seven hundred eighty-one thousand, one hundred eighty-four".