10812386088 has 576 divisors, whose sum is σ = 38343352320. Its totient is φ = 2792361600.

The previous prime is 10812386083. The next prime is 10812386111. The reversal of 10812386088 is 88068321801.

10812386088 is a `hidden beast` number, since 1 + 0 + 8 + 1 + 2 + 38 + 608 + 8 = 666.

10812386088 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-3 number, since 3×10812386088³ (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (10812386083) 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 143 ways as a sum of consecutive naturals, for example, 152287093 + ... + 152287163.

It is an arithmetic number, because the mean of its divisors is an integer number (66568320).

Almost surely, 2^10812386088 is an apocalyptic number.

10812386088 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 10812386088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19171676160).

10812386088 is an abundant number, since it is smaller than the sum of its proper divisors (27530966232).

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

10812386088 is a wasteful number, since it uses less digits than its factorization.

10812386088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

It can be divided in two parts, 10812 and 386088, that added together give a square (396900 = 630²).

The spelling of 10812386088 in words is "ten billion, eight hundred twelve million, three hundred eighty-six thousand, eighty-eight".