1355780063232 has 504 divisors, whose sum is σ = 4648537778976. Its totient is φ = 387174629376.

The previous prime is 1355780063213. The next prime is 1355780063237. The reversal of 1355780063232 is 2323600875531.

1355780063232 is a `hidden beast` number, since 1 + 3 + 5 + 5 + 7 + 8 + 0 + 0 + 632 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1355780063237) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 668859403 + ... + 668861429.

It is an arithmetic number, because the mean of its divisors is an integer number (9223289244).

Almost surely, 2^{1355780063232} is an apocalyptic number.

1355780063232 is a gapful number since it is divisible by the number (12) 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 1355780063232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2324268889488).

1355780063232 is an abundant number, since it is smaller than the sum of its proper divisors (3292757715744).

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

1355780063232 is an frugal number, since it uses more digits than its factorization.

1355780063232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2086 (or 2039 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 1355780063232 in words is "one trillion, three hundred fifty-five billion, seven hundred eighty million, sixty-three thousand, two hundred thirty-two".