1355018880 has 128 divisors (see below), whose sum is σ = 4353914880. Its totient is φ = 358428672.

The previous prime is 1355018857. The next prime is 1355018893. The reversal of 1355018880 is 888105531.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 241062 + ... + 246618.

It is an arithmetic number, because the mean of its divisors is an integer number (34014960).

Almost surely, 2^1355018880 is an apocalyptic number.

1355018880 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 1355018880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2176957440).

1355018880 is an abundant number, since it is smaller than the sum of its proper divisors (2998896000).

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

1355018880 is a wasteful number, since it uses less digits than its factorization.

1355018880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5706 (or 5694 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 39.

The square root of 1355018880 is about 36810.5810875080. The cubic root of 1355018880 is about 1106.5773641266.

The spelling of 1355018880 in words is "one billion, three hundred fifty-five million, eighteen thousand, eight hundred eighty".