10518860610720 has 864 divisors, whose sum is σ = 45122757039360. Its totient is φ = 2184247296000.

The previous prime is 10518860610719. The next prime is 10518860610743. The reversal of 10518860610720 is 2701606881501.

10518860610720 is a `hidden beast` number, since 1 + 0 + 5 + 1 + 8 + 8 + 6 + 0 + 610 + 7 + 20 = 666.

It is a super-2 number, since 2×10518860610720² (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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3416322141 + ... + 3416325219.

It is an arithmetic number, because the mean of its divisors is an integer number (52225413240).

Almost surely, 2^{10518860610720} is an apocalyptic number.

10518860610720 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 10518860610720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22561378519680).

10518860610720 is an abundant number, since it is smaller than the sum of its proper divisors (34603896428640).

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

10518860610720 is a wasteful number, since it uses less digits than its factorization.

10518860610720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5930 (or 5908 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 10518860610720 in words is "ten trillion, five hundred eighteen billion, eight hundred sixty million, six hundred ten thousand, seven hundred twenty".