11464778880 has 256 divisors, whose sum is σ = 41110732800. Its totient is φ = 3056901120.

The previous prime is 11464778867. The next prime is 11464778917. The reversal of 11464778880 is 8887746411.

11464778880 is a `hidden beast` number, since 1 + 14 + 6 + 477 + 88 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 1395585 + ... + 1403775.

It is an arithmetic number, because the mean of its divisors is an integer number (160588800).

Almost surely, 2^11464778880 is an apocalyptic number.

11464778880 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 11464778880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20555366400).

11464778880 is an abundant number, since it is smaller than the sum of its proper divisors (29645953920).

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

11464778880 is an frugal number, since it uses more digits than its factorization.

11464778880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8231 (or 8201 counting only the distinct ones).

The product of its (nonzero) digits is 2408448, while the sum is 54.

The spelling of 11464778880 in words is "eleven billion, four hundred sixty-four million, seven hundred seventy-eight thousand, eight hundred eighty".