11100977205504 has 288 divisors, whose sum is σ = 30961622974464. Its totient is φ = 3524290682880.

The previous prime is 11100977205473. The next prime is 11100977205523. The reversal of 11100977205504 is 40550277900111.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5933177689 + ... + 5933179559.

It is an arithmetic number, because the mean of its divisors is an integer number (107505635328).

Almost surely, 2^{11100977205504} 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 11100977205504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15480811487232).

11100977205504 is an abundant number, since it is smaller than the sum of its proper divisors (19860645768960).

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

11100977205504 is a wasteful number, since it uses less digits than its factorization.

11100977205504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3173 (or 3159 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 42.

The spelling of 11100977205504 in words is "eleven trillion, one hundred billion, nine hundred seventy-seven million, two hundred five thousand, five hundred four".