1159224867360 has 1152 divisors, whose sum is σ = 5047555129344. Its totient is φ = 236149309440.

The previous prime is 1159224867253. The next prime is 1159224867379. The reversal of 1159224867360 is 637684229511.

It is a happy number.

1159224867360 is a `hidden beast` number, since 1 + 1 + 5 + 92 + 2 + 486 + 73 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1159224867297 and 1159224867306.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 249669199 + ... + 249673841.

It is an arithmetic number, because the mean of its divisors is an integer number (4381558272).

It is a 1-persistent number, because it is pandigital, but 2⋅1159224867360 = 2318449734720 is not.

Almost surely, 2^{1159224867360} is an apocalyptic number.

1159224867360 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 1159224867360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2523777564672).

1159224867360 is an abundant number, since it is smaller than the sum of its proper divisors (3888330261984).

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

1159224867360 is a wasteful number, since it uses less digits than its factorization.

1159224867360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4766 (or 4755 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 1159224867360 in words is "one trillion, one hundred fifty-nine billion, two hundred twenty-four million, eight hundred sixty-seven thousand, three hundred sixty".