11123723520 has 1008 divisors, whose sum is σ = 49543224192. Its totient is φ = 2329067520.

The previous prime is 11123723497. The next prime is 11123723537. The reversal of 11123723520 is 2532732111.

11123723520 is a `hidden beast` number, since 1 + 112 + 3 + 7 + 23 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 84913855 + ... + 84913985.

It is an arithmetic number, because the mean of its divisors is an integer number (49150024).

Almost surely, 2^11123723520 is an apocalyptic number.

11123723520 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 11123723520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24771612096).

11123723520 is an abundant number, since it is smaller than the sum of its proper divisors (38419500672).

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

11123723520 is an equidigital number, since it uses as much as digits as its factorization.

11123723520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The spelling of 11123723520 in words is "eleven billion, one hundred twenty-three million, seven hundred twenty-three thousand, five hundred twenty".