1307672985600 has 1440 divisors, whose sum is σ = 5160472208640. Its totient is φ = 323884154880.

The previous prime is 1307672985539. The next prime is 1307672985613. The reversal of 1307672985600 is 65892767031.

1307672985600 is a `hidden beast` number, since 1 + 3 + 0 + 7 + 6 + 7 + 29 + 8 + 5 + 600 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13481164752 + ... + 13481164848.

It is an arithmetic number, because the mean of its divisors is an integer number (3583661256).

Almost surely, 2^{1307672985600} is an apocalyptic number.

1307672985600 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 1307672985600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2580236104320).

1307672985600 is an abundant number, since it is smaller than the sum of its proper divisors (3852799223040).

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

1307672985600 is an equidigital number, since it uses as much as digits as its factorization.

1307672985600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 1307672985600 in words is "one trillion, three hundred seven billion, six hundred seventy-two million, nine hundred eighty-five thousand, six hundred".