10518875136 has 704 divisors, whose sum is σ = 39962680320. Its totient is φ = 2687385600.

The previous prime is 10518875113. The next prime is 10518875189. The reversal of 10518875136 is 63157881501.

10518875136 is a `hidden beast` number, since 1 + 0 + 51 + 8 + 87 + 513 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

It is a super-2 number, since 2×10518875136² (a number of 21 digits) contains 22 as substring.

It is a zygodrome in base 6.

It is a junction number, because it is equal to n+sod(n) for n = 10518875091 and 10518875100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 172440546 + ... + 172440606.

Almost surely, 2^10518875136 is an apocalyptic number.

10518875136 is a gapful number since it is divisible by the number (16) 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 10518875136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19981340160).

10518875136 is an abundant number, since it is smaller than the sum of its proper divisors (29443805184).

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

10518875136 is an frugal number, since it uses more digits than its factorization.

10518875136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

The spelling of 10518875136 in words is "ten billion, five hundred eighteen million, eight hundred seventy-five thousand, one hundred thirty-six".