10518627438 has 80 divisors (see below), whose sum is σ = 25742914560. Its totient is φ = 3183656400.

The previous prime is 10518627409. The next prime is 10518627461. The reversal of 10518627438 is 83472681501.

10518627438 is a `hidden beast` number, since 1 + 0 + 5 + 18 + 627 + 4 + 3 + 8 = 666.

It is a super-2 number, since 2×10518627438² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10518627393 and 10518627402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1727283 + ... + 1733361.

It is an arithmetic number, because the mean of its divisors is an integer number (321786432).

Almost surely, 2^10518627438 is an apocalyptic number.

10518627438 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 10518627438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12871457280).

10518627438 is an abundant number, since it is smaller than the sum of its proper divisors (15224287122).

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

10518627438 is a wasteful number, since it uses less digits than its factorization.

10518627438 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7075 (or 7066 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 10518627438 in words is "ten billion, five hundred eighteen million, six hundred twenty-seven thousand, four hundred thirty-eight".