11074177189504 has 128 divisors (see below), whose sum is σ = 25920967121280. Its totient is φ = 4646119772160.

The previous prime is 11074177189459. The next prime is 11074177189519. The reversal of 11074177189504 is 40598177147011.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 356491477 + ... + 356522539.

It is an arithmetic number, because the mean of its divisors is an integer number (202507555635).

Almost surely, 2^{11074177189504} 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 11074177189504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12960483560640).

11074177189504 is an abundant number, since it is smaller than the sum of its proper divisors (14846789931776).

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

11074177189504 is a wasteful number, since it uses less digits than its factorization.

11074177189504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50578 (or 50566 counting only the distinct ones).

The product of its (nonzero) digits is 1975680, while the sum is 55.

The spelling of 11074177189504 in words is "eleven trillion, seventy-four billion, one hundred seventy-seven million, one hundred eighty-nine thousand, five hundred four".