11101079787804 has 384 divisors, whose sum is σ = 31231169249280. Its totient is φ = 3401261031168.

The previous prime is 11101079787797. The next prime is 11101079787871. The reversal of 11101079787804 is 40878797010111.

It is a happy number.

11101079787804 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1727253639 + ... + 1727260065.

It is an arithmetic number, because the mean of its divisors is an integer number (81331169920).

Almost surely, 2^{11101079787804} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11101079787804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15615584624640).

11101079787804 is an abundant number, since it is smaller than the sum of its proper divisors (20130089461476).

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

11101079787804 is a wasteful number, since it uses less digits than its factorization.

11101079787804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6766 (or 6758 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 54.

The spelling of 11101079787804 in words is "eleven trillion, one hundred one billion, seventy-nine million, seven hundred eighty-seven thousand, eight hundred four".