11171473920 has 240 divisors, whose sum is σ = 38874679272. Its totient is φ = 2964848640.

The previous prime is 11171473919. The next prime is 11171473927. The reversal of 11171473920 is 2937417111.

11171473920 is a `hidden beast` number, since 11 + 171 + 473 + 9 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6713508096 + 4457965824 = 81936^2 + 66768^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (11171473927) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5367280 + ... + 5369360.

Almost surely, 2^11171473920 is an apocalyptic number.

11171473920 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 11171473920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19437339636).

11171473920 is an abundant number, since it is smaller than the sum of its proper divisors (27703205352).

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

11171473920 is a wasteful number, since it uses less digits than its factorization.

11171473920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2343 (or 2324 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 36.

The spelling of 11171473920 in words is "eleven billion, one hundred seventy-one million, four hundred seventy-three thousand, nine hundred twenty".