360285355125360 has 640 divisors, whose sum is σ = 1448054358589440. Its totient is φ = 80636022567936.

The previous prime is 360285355125349. The next prime is 360285355125379. The reversal of 360285355125360 is 63521553582063.

360285355125360 is a `hidden beast` number, since 3 + 6 + 0 + 2 + 8 + 5 + 3 + 551 + 25 + 3 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 360285355125297 and 360285355125306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 168112867 + ... + 170242493.

It is an arithmetic number, because the mean of its divisors is an integer number (2262584935296).

Almost surely, 2^{360285355125360} is an apocalyptic number.

360285355125360 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 360285355125360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724027179294720).

360285355125360 is an abundant number, since it is smaller than the sum of its proper divisors (1087769003464080).

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

360285355125360 is a wasteful number, since it uses less digits than its factorization.

360285355125360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2129890 (or 2129878 counting only the distinct ones).

The product of its (nonzero) digits is 19440000, while the sum is 54.

The spelling of 360285355125360 in words is "three hundred sixty trillion, two hundred eighty-five billion, three hundred fifty-five million, one hundred twenty-five thousand, three hundred sixty".