1350255004560 has 960 divisors, whose sum is σ = 5792483114496. Its totient is φ = 273737318400.

The previous prime is 1350255004547. The next prime is 1350255004583. The reversal of 1350255004560 is 654005520531.

1350255004560 is a `hidden beast` number, since 1 + 3 + 5 + 0 + 2 + 550 + 0 + 45 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 567094570 + ... + 567096950.

Almost surely, 2^{1350255004560} is an apocalyptic number.

1350255004560 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 1350255004560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2896241557248).

1350255004560 is an abundant number, since it is smaller than the sum of its proper divisors (4442228109936).

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

1350255004560 is a wasteful number, since it uses less digits than its factorization.

1350255004560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2664 (or 2655 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The spelling of 1350255004560 in words is "one trillion, three hundred fifty billion, two hundred fifty-five million, four thousand, five hundred sixty".