13075187784960 has 432 divisors, whose sum is σ = 49493235931776. Its totient is φ = 2932223164416.

The previous prime is 13075187784941. The next prime is 13075187784979. The reversal of 13075187784960 is 6948778157031.

It is an interprime number because it is at equal distance from previous prime (13075187784941) and next prime (13075187784979).

It is a super-3 number, since 3×13075187784960³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 13075187784891 and 13075187784900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9316917 + ... + 10628043.

It is an arithmetic number, because the mean of its divisors is an integer number (114567675768).

Almost surely, 2^{13075187784960} is an apocalyptic number.

13075187784960 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 13075187784960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24746617965888).

13075187784960 is an abundant number, since it is smaller than the sum of its proper divisors (36418048146816).

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

13075187784960 is a wasteful number, since it uses less digits than its factorization.

13075187784960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1311218 (or 1311197 counting only the distinct ones).

The product of its (nonzero) digits is 71124480, while the sum is 66.

The spelling of 13075187784960 in words is "thirteen trillion, seventy-five billion, one hundred eighty-seven million, seven hundred eighty-four thousand, nine hundred sixty".