360169536960 has 448 divisors, whose sum is σ = 1316829634560. Its totient is φ = 92575457280.

The previous prime is 360169536953. The next prime is 360169536971. The reversal of 360169536960 is 69635961063.

360169536960 is a `hidden beast` number, since 3 + 6 + 0 + 16 + 9 + 536 + 96 + 0 = 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 = 360169536897 and 360169536906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 70439364 + ... + 70444476.

Almost surely, 2^360169536960 is an apocalyptic number.

360169536960 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 360169536960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658414817280).

360169536960 is an abundant number, since it is smaller than the sum of its proper divisors (956660097600).

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

360169536960 is a wasteful number, since it uses less digits than its factorization.

360169536960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5433 (or 5417 counting only the distinct ones).

The product of its (nonzero) digits is 4723920, while the sum is 54.

The spelling of 360169536960 in words is "three hundred sixty billion, one hundred sixty-nine million, five hundred thirty-six thousand, nine hundred sixty".