1355827967280 has 840 divisors, whose sum is σ = 4976720402544. Its totient is φ = 343052236800.

The previous prime is 1355827967267. The next prime is 1355827967297. The reversal of 1355827967280 is 827697285531.

1355827967280 is a `hidden beast` number, since 1 + 3 + 558 + 2 + 7 + 9 + 6 + 72 + 8 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 13424039230 + ... + 13424039330.

Almost surely, 2^{1355827967280} is an apocalyptic number.

1355827967280 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 1355827967280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2488360201272).

1355827967280 is an abundant number, since it is smaller than the sum of its proper divisors (3620892435264).

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

1355827967280 is an equidigital number, since it uses as much as digits as its factorization.

1355827967280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 63.

The spelling of 1355827967280 in words is "one trillion, three hundred fifty-five billion, eight hundred twenty-seven million, nine hundred sixty-seven thousand, two hundred eighty".