1352858809104 has 960 divisors, whose sum is σ = 4569727518720. Its totient is φ = 369266688000.

The previous prime is 1352858809091. The next prime is 1352858809117. The reversal of 1352858809104 is 4019088582531.

1352858809104 is a `hidden beast` number, since 1 + 3 + 52 + 8 + 588 + 0 + 9 + 1 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (1352858809091) and next prime (1352858809117).

It is a super-2 number, since 2×1352858809104² (a number of 25 digits) contains 22 as substring.

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, 12643540219 + ... + 12643540325.

It is an arithmetic number, because the mean of its divisors is an integer number (4760132832).

Almost surely, 2^{1352858809104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1352858809104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2284863759360).

1352858809104 is an abundant number, since it is smaller than the sum of its proper divisors (3216868709616).

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

1352858809104 is a wasteful number, since it uses less digits than its factorization.

1352858809104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 54.

The spelling of 1352858809104 in words is "one trillion, three hundred fifty-two billion, eight hundred fifty-eight million, eight hundred nine thousand, one hundred four".