10517378845518 has 96 divisors (see below), whose sum is σ = 25027994234880. Its totient is φ = 3298744828800.

The previous prime is 10517378845471. The next prime is 10517378845531. The reversal of 10517378845518 is 81554887371501.

10517378845518 is a `hidden beast` number, since 1 + 0 + 5 + 1 + 7 + 3 + 78 + 8 + 4 + 551 + 8 = 666.

It is a super-3 number, since 3×10517378845518³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 33312243 + ... + 33626481.

It is an arithmetic number, because the mean of its divisors is an integer number (260708273280).

Almost surely, 2^{10517378845518} is an apocalyptic number.

10517378845518 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10517378845518, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12513997117440).

10517378845518 is an abundant number, since it is smaller than the sum of its proper divisors (14510615389362).

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

10517378845518 is a wasteful number, since it uses less digits than its factorization.

10517378845518 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318324 (or 318312 counting only the distinct ones).

The product of its (nonzero) digits is 37632000, while the sum is 63.

The spelling of 10517378845518 in words is "ten trillion, five hundred seventeen billion, three hundred seventy-eight million, eight hundred forty-five thousand, five hundred eighteen".