11823563520 has 252 divisors, whose sum is σ = 42465620736. Its totient is φ = 3152701440.

The previous prime is 11823563513. The next prime is 11823563539. The reversal of 11823563520 is 2536532811.

11823563520 is a `hidden beast` number, since 1 + 1 + 82 + 3 + 56 + 3 + 520 = 666.

It is a super-2 number, since 2×11823563520² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 926785 + ... + 939455.

It is an arithmetic number, because the mean of its divisors is an integer number (168514368).

Almost surely, 2^11823563520 is an apocalyptic number.

11823563520 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 11823563520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21232810368).

11823563520 is an abundant number, since it is smaller than the sum of its proper divisors (30642057216).

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

11823563520 is an frugal number, since it uses more digits than its factorization.

11823563520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12710 (or 12681 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 11823563520 in words is "eleven billion, eight hundred twenty-three million, five hundred sixty-three thousand, five hundred twenty".