13330226361960 has 256 divisors, whose sum is σ = 44615849760000. Its totient is φ = 3540196058112.

The previous prime is 13330226361919. The next prime is 13330226361997. The reversal of 13330226361960 is 6916362203331.

13330226361960 is a `hidden beast` number, since 1 + 3 + 3 + 3 + 0 + 2 + 2 + 636 + 1 + 9 + 6 + 0 = 666.

It is a super-2 number, since 2×13330226361960² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 972363586 + ... + 972377294.

It is an arithmetic number, because the mean of its divisors is an integer number (174280663125).

Almost surely, 2^{13330226361960} is an apocalyptic number.

13330226361960 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 13330226361960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22307924880000).

13330226361960 is an abundant number, since it is smaller than the sum of its proper divisors (31285623398040).

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

13330226361960 is a wasteful number, since it uses less digits than its factorization.

13330226361960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17345 (or 17335 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 45.

The spelling of 13330226361960 in words is "thirteen trillion, three hundred thirty billion, two hundred twenty-six million, three hundred sixty-one thousand, nine hundred sixty".