10887434208 has 336 divisors, whose sum is σ = 37364546016. Its totient is φ = 3056901120.

The previous prime is 10887434179. The next prime is 10887434213. The reversal of 10887434208 is 80243478801.

10887434208 is a `hidden beast` number, since 1 + 0 + 8 + 8 + 7 + 434 + 208 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 9960510 + ... + 9961602.

It is an arithmetic number, because the mean of its divisors is an integer number (111204006).

Almost surely, 2^10887434208 is an apocalyptic number.

10887434208 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 10887434208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18682273008).

10887434208 is an abundant number, since it is smaller than the sum of its proper divisors (26477111808).

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

10887434208 is an equidigital number, since it uses as much as digits as its factorization.

10887434208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1189 (or 1166 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 10887434208 in words is "ten billion, eight hundred eighty-seven million, four hundred thirty-four thousand, two hundred eight".