360849537360000 has 1920 divisors, whose sum is σ = 1512159404595840. Its totient is φ = 84961198080000.

The previous prime is 360849537359917. The next prime is 360849537360031. The reversal of 360849537360000 is 63735948063.

360849537360000 is a `hidden beast` number, since 3 + 6 + 0 + 8 + 49 + 537 + 3 + 60 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×360849537360000² (a number of 30 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 5812528960 + ... + 5812591040.

It is an arithmetic number, because the mean of its divisors is an integer number (787583023227).

Almost surely, 2^{360849537360000} is an apocalyptic number.

360849537360000 is a gapful number since it is divisible by the number (30) 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 360849537360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756079702297920).

360849537360000 is an abundant number, since it is smaller than the sum of its proper divisors (1151309867235840).

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

360849537360000 is an equidigital number, since it uses as much as digits as its factorization.

360849537360000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62166 (or 62127 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 360849537360000 in words is "three hundred sixty trillion, eight hundred forty-nine billion, five hundred thirty-seven million, three hundred sixty thousand".