1355209261056 has 720 divisors, whose sum is σ = 4735761558528. Its totient is φ = 365219020800.

The previous prime is 1355209261031. The next prime is 1355209261073. The reversal of 1355209261056 is 6501629025531.

1355209261056 is a `hidden beast` number, since 1 + 3 + 5 + 5 + 20 + 9 + 2 + 610 + 5 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1311915516 + ... + 1311916548.

Almost surely, 2^{1355209261056} is an apocalyptic number.

1355209261056 is a gapful number since it is divisible by the number (16) 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 1355209261056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2367880779264).

1355209261056 is an abundant number, since it is smaller than the sum of its proper divisors (3380552297472).

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

1355209261056 is a wasteful number, since it uses less digits than its factorization.

1355209261056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1146 (or 1117 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 45.

The spelling of 1355209261056 in words is "one trillion, three hundred fifty-five billion, two hundred nine million, two hundred sixty-one thousand, fifty-six".