1355568405480 has 512 divisors, whose sum is σ = 5035032576000. Its totient is φ = 323070612480.

The previous prime is 1355568405437. The next prime is 1355568405601. The reversal of 1355568405480 is 845048655531.

1355568405480 is a `hidden beast` number, since 1 + 3 + 5 + 5 + 56 + 8 + 40 + 548 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 22300809 + ... + 22361511.

It is an arithmetic number, because the mean of its divisors is an integer number (9834048000).

Almost surely, 2^{1355568405480} is an apocalyptic number.

1355568405480 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 1355568405480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2517516288000).

1355568405480 is an abundant number, since it is smaller than the sum of its proper divisors (3679464170520).

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

1355568405480 is a wasteful number, since it uses less digits than its factorization.

1355568405480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60806 (or 60796 counting only the distinct ones).

The product of its (nonzero) digits is 11520000, while the sum is 54.

The spelling of 1355568405480 in words is "one trillion, three hundred fifty-five billion, five hundred sixty-eight million, four hundred five thousand, four hundred eighty".