1306178705160 has 1536 divisors, whose sum is σ = 5688299520000. Its totient is φ = 260105084928.

The previous prime is 1306178705147. The next prime is 1306178705231. The reversal of 1306178705160 is 615078716031.

1306178705160 is a `hidden beast` number, since 1 + 3 + 0 + 61 + 7 + 8 + 70 + 516 + 0 = 666.

It is a super-2 number, since 2×1306178705160² (a number of 25 digits) contains 22 as substring.

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 383 ways as a sum of consecutive naturals, for example, 2180598541 + ... + 2180599139.

It is an arithmetic number, because the mean of its divisors is an integer number (3703320000).

Almost surely, 2^{1306178705160} is an apocalyptic number.

1306178705160 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 1306178705160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2844149760000).

1306178705160 is an abundant number, since it is smaller than the sum of its proper divisors (4382120814840).

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

1306178705160 is a wasteful number, since it uses less digits than its factorization.

1306178705160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 1306178705160 in words is "one trillion, three hundred six billion, one hundred seventy-eight million, seven hundred five thousand, one hundred sixty".