1378170805320 has 256 divisors, whose sum is σ = 4630475808000. Its totient is φ = 364590471168.

The previous prime is 1378170805303. The next prime is 1378170805357. The reversal of 1378170805320 is 235080718731.

1378170805320 is a `hidden beast` number, since 1 + 37 + 8 + 1 + 7 + 0 + 80 + 532 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 263157742 + ... + 263162978.

It is an arithmetic number, because the mean of its divisors is an integer number (18087796125).

Almost surely, 2^{1378170805320} is an apocalyptic number.

1378170805320 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 1378170805320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2315237904000).

1378170805320 is an abundant number, since it is smaller than the sum of its proper divisors (3252305002680).

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

1378170805320 is a wasteful number, since it uses less digits than its factorization.

1378170805320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7149 (or 7139 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 1378170805320 in words is "one trillion, three hundred seventy-eight billion, one hundred seventy million, eight hundred five thousand, three hundred twenty".