1184256264960 has 864 divisors, whose sum is σ = 4299245862912. Its totient is φ = 300708495360.

The previous prime is 1184256264899. The next prime is 1184256265001. The reversal of 1184256264960 is 694626524811.

It is a happy number.

1184256264960 is a `hidden beast` number, since 1 + 1 + 8 + 4 + 2 + 5 + 626 + 4 + 9 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1184256264897 and 1184256264906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7091354797 + ... + 7091354963.

It is an arithmetic number, because the mean of its divisors is an integer number (4975979008).

Almost surely, 2^{1184256264960} is an apocalyptic number.

1184256264960 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 1184256264960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2149622931456).

1184256264960 is an abundant number, since it is smaller than the sum of its proper divisors (3114989597952).

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

1184256264960 is a wasteful number, since it uses less digits than its factorization.

1184256264960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 1184256264960 in words is "one trillion, one hundred eighty-four billion, two hundred fifty-six million, two hundred sixty-four thousand, nine hundred sixty".