1350226565280 has 144 divisors (see below), whose sum is σ = 4635916740000. Its totient is φ = 357851395584.

The previous prime is 1350226565279. The next prime is 1350226565339. The reversal of 1350226565280 is 825656220531.

1350226565280 is a `hidden beast` number, since 1 + 3 + 5 + 0 + 2 + 2 + 6 + 565 + 2 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×1350226565280³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2641530 + ... + 3110969.

It is an arithmetic number, because the mean of its divisors is an integer number (32193866250).

Almost surely, 2^{1350226565280} is an apocalyptic number.

1350226565280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1350226565280 is an abundant number, since it is smaller than the sum of its proper divisors (3285690174720).

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

1350226565280 is a wasteful number, since it uses less digits than its factorization.

1350226565280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5752683 (or 5752672 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 1350226565280 in words is "one trillion, three hundred fifty billion, two hundred twenty-six million, five hundred sixty-five thousand, two hundred eighty".