1353261168000 has 1536 divisors, whose sum is σ = 6065348889600. Its totient is φ = 292925030400.

The previous prime is 1353261167969. The next prime is 1353261168011. The reversal of 1353261168000 is 8611623531.

1353261168000 is a `hidden beast` number, since 1 + 3 + 5 + 32 + 611 + 6 + 8 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 517102692 + ... + 517105308.

It is an arithmetic number, because the mean of its divisors is an integer number (3948794850).

Almost surely, 2^{1353261168000} is an apocalyptic number.

1353261168000 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 1353261168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3032674444800).

1353261168000 is an abundant number, since it is smaller than the sum of its proper divisors (4712087721600).

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

1353261168000 is an equidigital number, since it uses as much as digits as its factorization.

1353261168000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2687 (or 2653 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 1353261168000 in words is "one trillion, three hundred fifty-three billion, two hundred sixty-one million, one hundred sixty-eight thousand".