1353883356000 has 768 divisors, whose sum is σ = 5703699456000. Its totient is φ = 305528371200.

The previous prime is 1353883355999. The next prime is 1353883356019. The reversal of 1353883356000 is 6533883531.

1353883356000 is a `hidden beast` number, since 1 + 3 + 5 + 3 + 8 + 8 + 3 + 35 + 600 + 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 127 ways as a sum of consecutive naturals, for example, 59712666 + ... + 59735334.

It is an arithmetic number, because the mean of its divisors is an integer number (7426692000).

Almost surely, 2^{1353883356000} is an apocalyptic number.

1353883356000 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 1353883356000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2851849728000).

1353883356000 is an abundant number, since it is smaller than the sum of its proper divisors (4349816100000).

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

1353883356000 is a wasteful number, since it uses less digits than its factorization.

1353883356000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22789 (or 22765 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 1353883356000 in words is "one trillion, three hundred fifty-three billion, eight hundred eighty-three million, three hundred fifty-six thousand".