1353447792000 has 768 divisors, whose sum is σ = 5337356431680. Its totient is φ = 339672268800.

The previous prime is 1353447791989. The next prime is 1353447792013. The reversal of 1353447792000 is 2977443531.

1353447792000 is a `hidden beast` number, since 1 + 3 + 534 + 47 + 79 + 2 + 0 + 0 + 0 = 666.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 66085762 + ... + 66106238.

Almost surely, 2^{1353447792000} is an apocalyptic number.

1353447792000 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 1353447792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2668678215840).

1353447792000 is an abundant number, since it is smaller than the sum of its proper divisors (3983908639680).

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

1353447792000 is an equidigital number, since it uses as much as digits as its factorization.

1353447792000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20538 (or 20504 counting only the distinct ones).

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

The spelling of 1353447792000 in words is "one trillion, three hundred fifty-three billion, four hundred forty-seven million, seven hundred ninety-two thousand".