1388173676880 has 320 divisors, whose sum is σ = 4381648128000. Its totient is φ = 363521157120.

The previous prime is 1388173676863. The next prime is 1388173676891. The reversal of 1388173676880 is 886763718831.

It is a happy number.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 2431126995 + ... + 2431127565.

It is an arithmetic number, because the mean of its divisors is an integer number (13692650400).

Almost surely, 2^{1388173676880} is an apocalyptic number.

1388173676880 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 1388173676880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2190824064000).

1388173676880 is an abundant number, since it is smaller than the sum of its proper divisors (2993474451120).

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

1388173676880 is a wasteful number, since it uses less digits than its factorization.

1388173676880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1362 (or 1356 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 66.

The spelling of 1388173676880 in words is "one trillion, three hundred eighty-eight billion, one hundred seventy-three million, six hundred seventy-six thousand, eight hundred eighty".