1326753792000 has 2160 divisors, whose sum is σ = 6045223674672. Its totient is φ = 277453209600.

The previous prime is 1326753791999. The next prime is 1326753792071. The reversal of 1326753792000 is 2973576231.

1326753792000 is a `hidden beast` number, since 1 + 3 + 2 + 6 + 75 + 379 + 200 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1082132545536 + 244621246464 = 1040256^2 + 494592^2 .

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 143 ways as a sum of consecutive naturals, for example, 11741183944 + ... + 11741184056.

Almost surely, 2^{1326753792000} is an apocalyptic number.

1326753792000 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 1326753792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3022611837336).

1326753792000 is an abundant number, since it is smaller than the sum of its proper divisors (4718469882672).

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

1326753792000 is a wasteful number, since it uses less digits than its factorization.

1326753792000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 45.

The spelling of 1326753792000 in words is "one trillion, three hundred twenty-six billion, seven hundred fifty-three million, seven hundred ninety-two thousand".