1306770132720 has 320 divisors, whose sum is σ = 4494908557440. Its totient is φ = 312047763456.

The previous prime is 1306770132697. The next prime is 1306770132749. The reversal of 1306770132720 is 272310776031.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14672644 + ... + 14761436.

It is an arithmetic number, because the mean of its divisors is an integer number (14046589242).

Almost surely, 2^{1306770132720} is an apocalyptic number.

1306770132720 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 1306770132720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2247454278720).

1306770132720 is an abundant number, since it is smaller than the sum of its proper divisors (3188138424720).

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

1306770132720 is a wasteful number, since it uses less digits than its factorization.

1306770132720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88964 (or 88958 counting only the distinct ones).

The product of its (nonzero) digits is 74088, while the sum is 39.

The spelling of 1306770132720 in words is "one trillion, three hundred six billion, seven hundred seventy million, one hundred thirty-two thousand, seven hundred twenty".