13378676770296 has 160 divisors (see below), whose sum is σ = 39724276284000. Its totient is φ = 4192226371584.

The previous prime is 13378676770247. The next prime is 13378676770321. The reversal of 13378676770296 is 69207767687331.

13378676770296 is a `hidden beast` number, since 1 + 337 + 86 + 7 + 67 + 70 + 2 + 96 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8518660 + ... + 9966188.

It is an arithmetic number, because the mean of its divisors is an integer number (248276726775).

Almost surely, 2^{13378676770296} 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 13378676770296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19862138142000).

13378676770296 is an abundant number, since it is smaller than the sum of its proper divisors (26345599513704).

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

13378676770296 is a wasteful number, since it uses less digits than its factorization.

13378676770296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1448403 (or 1448390 counting only the distinct ones).

The product of its (nonzero) digits is 672126336, while the sum is 72.

The spelling of 13378676770296 in words is "thirteen trillion, three hundred seventy-eight billion, six hundred seventy-six million, seven hundred seventy thousand, two hundred ninety-six".