1326958364160 has 1920 divisors, whose sum is σ = 5822948736000. Its totient is φ = 283398635520.

The previous prime is 1326958364143. The next prime is 1326958364167. The reversal of 1326958364160 is 614638596231.

1326958364160 is a `hidden beast` number, since 1 + 3 + 269 + 5 + 8 + 364 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is a junction number, because it is equal to n+sod(n) for n = 1326958364097 and 1326958364106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1326958364167) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 2955363616 + ... + 2955364064.

It is an arithmetic number, because the mean of its divisors is an integer number (3032785800).

Almost surely, 2^{1326958364160} is an apocalyptic number.

1326958364160 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 1326958364160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2911474368000).

1326958364160 is an abundant number, since it is smaller than the sum of its proper divisors (4495990371840).

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

1326958364160 is a wasteful number, since it uses less digits than its factorization.

1326958364160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 1326958364160 in words is "one trillion, three hundred twenty-six billion, nine hundred fifty-eight million, three hundred sixty-four thousand, one hundred sixty".