13341207072960 has 672 divisors, whose sum is σ = 51291296626752. Its totient is φ = 3281238097920.

The previous prime is 13341207072943. The next prime is 13341207072979. The reversal of 13341207072960 is 6927070214331.

13341207072960 is a `hidden beast` number, since 1 + 334 + 1 + 20 + 7 + 0 + 7 + 296 + 0 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1375802832 + ... + 1375812528.

It is an arithmetic number, because the mean of its divisors is an integer number (76326334266).

Almost surely, 2^{13341207072960} is an apocalyptic number.

13341207072960 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 13341207072960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25645648313376).

13341207072960 is an abundant number, since it is smaller than the sum of its proper divisors (37950089553792).

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

13341207072960 is a wasteful number, since it uses less digits than its factorization.

13341207072960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11103 (or 11081 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 13341207072960 in words is "thirteen trillion, three hundred forty-one billion, two hundred seven million, seventy-two thousand, nine hundred sixty".