11117025920 has 768 divisors, whose sum is σ = 37858907520. Its totient is φ = 3065610240.

The previous prime is 11117025869. The next prime is 11117025937. The reversal of 11117025920 is 2952071111.

It is a happy number.

It is a nialpdrome in base 14.

It is a zygodrome in base 4.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 165925727 + ... + 165925793.

Almost surely, 2^11117025920 is an apocalyptic number.

11117025920 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 11117025920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18929453760).

11117025920 is an abundant number, since it is smaller than the sum of its proper divisors (26741881600).

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

11117025920 is a wasteful number, since it uses less digits than its factorization.

11117025920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 29.

The spelling of 11117025920 in words is "eleven billion, one hundred seventeen million, twenty-five thousand, nine hundred twenty".