1355983508880 has 2560 divisors, whose sum is σ = 6499743989760. Its totient is φ = 252912844800.

The previous prime is 1355983508857. The next prime is 1355983508917. The reversal of 1355983508880 is 888053895531.

1355983508880 is a `hidden beast` number, since 1 + 3 + 5 + 598 + 35 + 0 + 8 + 8 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 18575116524 + ... + 18575116596.

It is an arithmetic number, because the mean of its divisors is an integer number (2538962496).

Almost surely, 2^{1355983508880} is an apocalyptic number.

1355983508880 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 1355983508880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3249871994880).

1355983508880 is an abundant number, since it is smaller than the sum of its proper divisors (5143760480880).

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

1355983508880 is a wasteful number, since it uses less digits than its factorization.

1355983508880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 41472000, while the sum is 63.

The spelling of 1355983508880 in words is "one trillion, three hundred fifty-five billion, nine hundred eighty-three million, five hundred eight thousand, eight hundred eighty".