11027668410 has 96 divisors (see below), whose sum is σ = 31507175232. Its totient is φ = 2653827840.

The previous prime is 11027668373. The next prime is 11027668411. The reversal of 11027668410 is 1486672011.

It is a happy number.

11027668410 is a `hidden beast` number, since 110 + 2 + 76 + 68 + 410 = 666.

It is not an unprimeable number, because it can be changed into a prime (11027668411) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 94977 + ... + 176283.

It is an arithmetic number, because the mean of its divisors is an integer number (328199742).

Almost surely, 2^11027668410 is an apocalyptic number.

11027668410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11027668410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15753587616).

11027668410 is an abundant number, since it is smaller than the sum of its proper divisors (20479506822).

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

11027668410 is a wasteful number, since it uses less digits than its factorization.

11027668410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81468 (or 81465 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 11027668410 in words is "eleven billion, twenty-seven million, six hundred sixty-eight thousand, four hundred ten".