359850516480 has 1344 divisors, whose sum is σ = 1628154597888. Its totient is φ = 71345111040.

The previous prime is 359850516479. The next prime is 359850516517. The reversal of 359850516480 is 84615058953.

359850516480 is a `hidden beast` number, since 3 + 5 + 9 + 85 + 0 + 516 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 570285765 + ... + 570286395.

It is an arithmetic number, because the mean of its divisors is an integer number (1211424552).

Almost surely, 2^359850516480 is an apocalyptic number.

359850516480 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 359850516480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (814077298944).

359850516480 is an abundant number, since it is smaller than the sum of its proper divisors (1268304081408).

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

359850516480 is a wasteful number, since it uses less digits than its factorization.

359850516480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 54.

The spelling of 359850516480 in words is "three hundred fifty-nine billion, eight hundred fifty million, five hundred sixteen thousand, four hundred eighty".