11543185920 has 320 divisors, whose sum is σ = 43210734336. Its totient is φ = 2573598720.

The previous prime is 11543185873. The next prime is 11543185987. The reversal of 11543185920 is 2958134511.

It is a tau number, because it is divible by the number of its divisors (320).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2201542 + ... + 2206778.

Almost surely, 2^11543185920 is an apocalyptic number.

11543185920 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 11543185920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21605367168).

11543185920 is an abundant number, since it is smaller than the sum of its proper divisors (31667548416).

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

11543185920 is an equidigital number, since it uses as much as digits as its factorization.

11543185920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5311 (or 5295 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 39.

The spelling of 11543185920 in words is "eleven billion, five hundred forty-three million, one hundred eighty-five thousand, nine hundred twenty".