360056116512 has 144 divisors (see below), whose sum is σ = 1030003726752. Its totient is φ = 119306557440.

The previous prime is 360056116501. The next prime is 360056116559. The reversal of 360056116512 is 215611650063.

360056116512 is a `hidden beast` number, since 36 + 0 + 0 + 5 + 611 + 6 + 5 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×360056116512² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33673087 + ... + 33683777.

It is an arithmetic number, because the mean of its divisors is an integer number (7152803658).

Almost surely, 2^360056116512 is an apocalyptic number.

360056116512 is a gapful number since it is divisible by the number (32) 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 360056116512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515001863376).

360056116512 is an abundant number, since it is smaller than the sum of its proper divisors (669947610240).

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

360056116512 is a wasteful number, since it uses less digits than its factorization.

360056116512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11391 (or 11380 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

Adding to 360056116512 its reverse (215611650063), we get a palindrome (575667766575).

The spelling of 360056116512 in words is "three hundred sixty billion, fifty-six million, one hundred sixteen thousand, five hundred twelve".