1387516384800 has 432 divisors, whose sum is σ = 6021823953600. Its totient is φ = 292750571520.

The previous prime is 1387516384789. The next prime is 1387516384853. The reversal of 1387516384800 is 84836157831.

It is a happy number.

1387516384800 is a `hidden beast` number, since 1 + 3 + 87 + 51 + 6 + 38 + 480 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 403650 + ... + 1714049.

It is an arithmetic number, because the mean of its divisors is an integer number (13939407300).

Almost surely, 2^{1387516384800} is an apocalyptic number.

1387516384800 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 1387516384800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3010911976800).

1387516384800 is an abundant number, since it is smaller than the sum of its proper divisors (4634307568800).

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

1387516384800 is a wasteful number, since it uses less digits than its factorization.

1387516384800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2117745 (or 2117729 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 1387516384800 in words is "one trillion, three hundred eighty-seven billion, five hundred sixteen million, three hundred eighty-four thousand, eight hundred".