10518696552 has 768 divisors, whose sum is σ = 38452838400. Its totient is φ = 2329067520.

The previous prime is 10518696547. The next prime is 10518696553. The reversal of 10518696552 is 25569681501.

10518696552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10518696552² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (10518696553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 284289078 + ... + 284289114.

It is an arithmetic number, because the mean of its divisors is an integer number (50068800).

Almost surely, 2^10518696552 is an apocalyptic number.

10518696552 is a gapful number since it is divisible by the number (12) 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 10518696552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19226419200).

10518696552 is an abundant number, since it is smaller than the sum of its proper divisors (27934141848).

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

10518696552 is a wasteful number, since it uses less digits than its factorization.

10518696552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 48.

The spelling of 10518696552 in words is "ten billion, five hundred eighteen million, six hundred ninety-six thousand, five hundred fifty-two".