11884155360 has 288 divisors, whose sum is σ = 47027506176. Its totient is φ = 2469350400.

The previous prime is 11884155323. The next prime is 11884155373. The reversal of 11884155360 is 6355148811.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 391945 + ... + 421175.

It is an arithmetic number, because the mean of its divisors is an integer number (163289952).

Almost surely, 2^11884155360 is an apocalyptic number.

11884155360 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 11884155360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23513753088).

11884155360 is an abundant number, since it is smaller than the sum of its proper divisors (35143350816).

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

11884155360 is a wasteful number, since it uses less digits than its factorization.

11884155360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29278 (or 29259 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 42.

The spelling of 11884155360 in words is "eleven billion, eight hundred eighty-four million, one hundred fifty-five thousand, three hundred sixty".