11855280 has 80 divisors (see below), whose sum is σ = 37569024. Its totient is φ = 3091200.

The previous prime is 11855269. The next prime is 11855303. The reversal of 11855280 is 8255811.

11855280 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10755 + ... + 11805.

Almost surely, 2^11855280 is an apocalyptic number.

11855280 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 11855280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18784512).

11855280 is an abundant number, since it is smaller than the sum of its proper divisors (25713744).

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

11855280 is a wasteful number, since it uses less digits than its factorization.

11855280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1114 (or 1108 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 30.

The square root of 11855280 is about 3443.1497208225. The cubic root of 11855280 is about 228.0187734619.

The spelling of 11855280 in words is "eleven million, eight hundred fifty-five thousand, two hundred eighty".