11100438979080 has 128 divisors (see below), whose sum is σ = 36339898060800. Its totient is φ = 2690186720000.

The previous prime is 11100438979067. The next prime is 11100438979087. The reversal of 11100438979080 is 8097983400111.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (11100438979087) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2997961 + ... + 5584679.

It is an arithmetic number, because the mean of its divisors is an integer number (283905453600).

Almost surely, 2^{11100438979080} is an apocalyptic number.

11100438979080 is a gapful number since it is divisible by the number (10) 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 11100438979080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18169949030400).

11100438979080 is an abundant number, since it is smaller than the sum of its proper divisors (25239459081720).

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

11100438979080 is a wasteful number, since it uses less digits than its factorization.

11100438979080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2589995 (or 2589991 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 51.

The spelling of 11100438979080 in words is "eleven trillion, one hundred billion, four hundred thirty-eight million, nine hundred seventy-nine thousand, eighty".