1306895772672 has 880 divisors, whose sum is σ = 4583438027520. Its totient is φ = 364731973632.

The previous prime is 1306895772671. The next prime is 1306895772697. The reversal of 1306895772672 is 2762775986031.

1306895772672 is a `hidden beast` number, since 1 + 30 + 6 + 8 + 9 + 577 + 26 + 7 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1306895772671) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8324176818 + ... + 8324176974.

It is an arithmetic number, because the mean of its divisors is an integer number (5208452304).

Almost surely, 2^{1306895772672} is an apocalyptic number.

1306895772672 is a gapful number since it is divisible by the number (12) 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 1306895772672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2291719013760).

1306895772672 is an abundant number, since it is smaller than the sum of its proper divisors (3276542254848).

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

1306895772672 is an frugal number, since it uses more digits than its factorization.

1306895772672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 53343360, while the sum is 63.

The spelling of 1306895772672 in words is "one trillion, three hundred six billion, eight hundred ninety-five million, seven hundred seventy-two thousand, six hundred seventy-two".