1320674259600 has 180 divisors, whose sum is σ = 4583758307076. Its totient is φ = 352129720320.

The previous prime is 1320674259581. The next prime is 1320674259607. The reversal of 1320674259600 is 69524760231.

1320674259600 is a `hidden beast` number, since 1 + 32 + 0 + 6 + 7 + 4 + 2 + 5 + 9 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 4386147984 + 1316288111616 = 66228^2 + 1147296^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1320674259607) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 30135304 + ... + 30179096.

Almost surely, 2^{1320674259600} is an apocalyptic number.

1320674259600 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 1320674259600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2291879153538).

1320674259600 is an abundant number, since it is smaller than the sum of its proper divisors (3263084047476).

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

1320674259600 is a wasteful number, since it uses less digits than its factorization.

1320674259600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52194 (or 52180 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 1320674259600 in words is "one trillion, three hundred twenty billion, six hundred seventy-four million, two hundred fifty-nine thousand, six hundred".