1325306551680 has 640 divisors, whose sum is σ = 4915690243200. Its totient is φ = 339864698880.

The previous prime is 1325306551663. The next prime is 1325306551703. The reversal of 1325306551680 is 861556035231.

1325306551680 is a `hidden beast` number, since 1 + 3 + 2 + 5 + 30 + 6 + 551 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

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 79 ways as a sum of consecutive naturals, for example, 407408934 + ... + 407412186.

It is an arithmetic number, because the mean of its divisors is an integer number (7680766005).

Almost surely, 2^{1325306551680} is an apocalyptic number.

1325306551680 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 1325306551680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2457845121600).

1325306551680 is an abundant number, since it is smaller than the sum of its proper divisors (3590383691520).

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

1325306551680 is a wasteful number, since it uses less digits than its factorization.

1325306551680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3584 (or 3563 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 1325306551680 in words is "one trillion, three hundred twenty-five billion, three hundred six million, five hundred fifty-one thousand, six hundred eighty".