1378727199360 has 1536 divisors, whose sum is σ = 5944010342400. Its totient is φ = 287442763776.

The previous prime is 1378727199349. The next prime is 1378727199373. The reversal of 1378727199360 is 639917278731.

1378727199360 is a `hidden beast` number, since 1 + 3 + 7 + 87 + 2 + 7 + 199 + 360 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3599809729 + ... + 3599810111.

It is an arithmetic number, because the mean of its divisors is an integer number (3869798400).

Almost surely, 2^{1378727199360} is an apocalyptic number.

1378727199360 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 1378727199360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2972005171200).

1378727199360 is an abundant number, since it is smaller than the sum of its proper divisors (4565283143040).

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

1378727199360 is a wasteful number, since it uses less digits than its factorization.

1378727199360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 24004512, while the sum is 63.

The spelling of 1378727199360 in words is "one trillion, three hundred seventy-eight billion, seven hundred twenty-seven million, one hundred ninety-nine thousand, three hundred sixty".