11174892480 has 336 divisors, whose sum is σ = 40376063520. Its totient is φ = 2832850944.

The previous prime is 11174892373. The next prime is 11174892481. The reversal of 11174892480 is 8429847111.

11174892480 is a `hidden beast` number, since 1 + 11 + 74 + 8 + 92 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11174892481) 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, 5594842 + ... + 5596838.

Almost surely, 2^11174892480 is an apocalyptic number.

11174892480 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 11174892480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20188031760).

11174892480 is an abundant number, since it is smaller than the sum of its proper divisors (29201171040).

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

11174892480 is a wasteful number, since it uses less digits than its factorization.

11174892480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2116 (or 2103 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 11174892480 in words is "eleven billion, one hundred seventy-four million, eight hundred ninety-two thousand, four hundred eighty".