1386067268160 has 672 divisors, whose sum is σ = 5144399769600. Its totient is φ = 341738127360.

The previous prime is 1386067268111. The next prime is 1386067268197. The reversal of 1386067268160 is 618627606831.

1386067268160 is a `hidden beast` number, since 1 + 3 + 8 + 606 + 7 + 26 + 8 + 1 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1386067268097 and 1386067268106.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 251141881 + ... + 251147399.

It is an arithmetic number, because the mean of its divisors is an integer number (7655356800).

Almost surely, 2^{1386067268160} is an apocalyptic number.

1386067268160 is a gapful number since it is divisible by the number (10) 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 1386067268160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2572199884800).

1386067268160 is an abundant number, since it is smaller than the sum of its proper divisors (3758332501440).

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

1386067268160 is a wasteful number, since it uses less digits than its factorization.

1386067268160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5699 (or 5686 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 1386067268160 in words is "one trillion, three hundred eighty-six billion, sixty-seven million, two hundred sixty-eight thousand, one hundred sixty".