1353120020256 has 96 divisors (see below), whose sum is σ = 3556938208320. Its totient is φ = 450405835776.

The previous prime is 1353120020227. The next prime is 1353120020257. The reversal of 1353120020256 is 6520200213531.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (1353120020257) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 349010190 + ... + 349014066.

It is an arithmetic number, because the mean of its divisors is an integer number (37051439670).

Almost surely, 2^{1353120020256} is an apocalyptic number.

1353120020256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1353120020256 is an abundant number, since it is smaller than the sum of its proper divisors (2203818188064).

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

1353120020256 is a wasteful number, since it uses less digits than its factorization.

1353120020256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8066 (or 8058 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

Adding to 1353120020256 its reverse (6520200213531), we get a palindrome (7873320233787).

The spelling of 1353120020256 in words is "one trillion, three hundred fifty-three billion, one hundred twenty million, twenty thousand, two hundred fifty-six".