1306180753920 has 1440 divisors, whose sum is σ = 5541306458688. Its totient is φ = 293964152832.

The previous prime is 1306180753909. The next prime is 1306180753931. The reversal of 1306180753920 is 293570816031.

1306180753920 is a `hidden beast` number, since 1 + 3 + 0 + 618 + 0 + 7 + 5 + 3 + 9 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (1306180753909) and next prime (1306180753931).

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×1306180753920² (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 143 ways as a sum of consecutive naturals, for example, 2225179867 + ... + 2225180453.

Almost surely, 2^{1306180753920} is an apocalyptic number.

1306180753920 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 1306180753920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2770653229344).

1306180753920 is an abundant number, since it is smaller than the sum of its proper divisors (4235125704768).

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

1306180753920 is an frugal number, since it uses more digits than its factorization.

1306180753920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 1306180753920 in words is "one trillion, three hundred six billion, one hundred eighty million, seven hundred fifty-three thousand, nine hundred twenty".