13000863360240 has 720 divisors, whose sum is σ = 52330966032384. Its totient is φ = 2832774405120.

The previous prime is 13000863360239. The next prime is 13000863360257. The reversal of 13000863360240 is 4206336800031.

13000863360240 is a `hidden beast` number, since 1 + 3 + 0 + 0 + 0 + 8 + 6 + 3 + 3 + 602 + 40 = 666.

It is a Cunningham number, because it is equal to 3605671²-1.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×13000863360240² (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 13000863360195 and 13000863360204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 324490449 + ... + 324530511.

Almost surely, 2^{13000863360240} is an apocalyptic number.

13000863360240 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 13000863360240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26165483016192).

13000863360240 is an abundant number, since it is smaller than the sum of its proper divisors (39330102672144).

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

13000863360240 is a wasteful number, since it uses less digits than its factorization.

13000863360240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40218 (or 40178 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 13000863360240 in words is "thirteen trillion, eight hundred sixty-three million, three hundred sixty thousand, two hundred forty".