10813511268 has 288 divisors, whose sum is σ = 33860736000. Its totient is φ = 2841350400.

The previous prime is 10813511251. The next prime is 10813511281. The reversal of 10813511268 is 86211531801.

10813511268 is a `hidden beast` number, since 1 + 0 + 81 + 3 + 511 + 2 + 68 = 666.

It is a super-3 number, since 3×10813511268³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28531503 + ... + 28531881.

It is an arithmetic number, because the mean of its divisors is an integer number (117572000).

Almost surely, 2^10813511268 is an apocalyptic number.

10813511268 is a gapful number since it is divisible by the number (18) 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 10813511268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16930368000).

10813511268 is an abundant number, since it is smaller than the sum of its proper divisors (23047224732).

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

10813511268 is a wasteful number, since it uses less digits than its factorization.

10813511268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The spelling of 10813511268 in words is "ten billion, eight hundred thirteen million, five hundred eleven thousand, two hundred sixty-eight".