1387868517360 has 640 divisors, whose sum is σ = 5437085337600. Its totient is φ = 322575851520.

The previous prime is 1387868517337. The next prime is 1387868517391. The reversal of 1387868517360 is 637158687831.

1387868517360 is a `hidden beast` number, since 1 + 3 + 8 + 7 + 86 + 8 + 517 + 36 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 166987605 + ... + 166995915.

It is an arithmetic number, because the mean of its divisors is an integer number (8495445840).

Almost surely, 2^{1387868517360} is an apocalyptic number.

1387868517360 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 1387868517360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2718542668800).

1387868517360 is an abundant number, since it is smaller than the sum of its proper divisors (4049216820240).

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

1387868517360 is a wasteful number, since it uses less digits than its factorization.

1387868517360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8678 (or 8666 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 1387868517360 in words is "one trillion, three hundred eighty-seven billion, eight hundred sixty-eight million, five hundred seventeen thousand, three hundred sixty".