1326213725760 has 2240 divisors, whose sum is σ = 6118082150400. Its totient is φ = 270273024000.

The previous prime is 1326213725743. The next prime is 1326213725777. The reversal of 1326213725760 is 675273126231.

1326213725760 is a `hidden beast` number, since 1 + 3 + 2 + 6 + 2 + 1 + 3 + 72 + 576 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1326213725743) and next prime (1326213725777).

It is a tau number, because it is divible by the number of its divisors (2240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 6943527265 + ... + 6943527455.

Almost surely, 2^{1326213725760} is an apocalyptic number.

1326213725760 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 1326213725760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3059041075200).

1326213725760 is an abundant number, since it is smaller than the sum of its proper divisors (4791868424640).

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

1326213725760 is a wasteful number, since it uses less digits than its factorization.

1326213725760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 1326213725760 in words is "one trillion, three hundred twenty-six billion, two hundred thirteen million, seven hundred twenty-five thousand, seven hundred sixty".