359827853616 has 720 divisors, whose sum is σ = 1302693863328. Its totient is φ = 91671552000.

The previous prime is 359827853611. The next prime is 359827853663. The reversal of 359827853616 is 616358728953.

359827853616 is a `hidden beast` number, since 3 + 5 + 9 + 8 + 2 + 7 + 8 + 5 + 3 + 616 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (359827853611) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1544325436 + ... + 1544325668.

Almost surely, 2^359827853616 is an apocalyptic number.

359827853616 is a gapful number since it is divisible by the number (36) 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 359827853616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651346931664).

359827853616 is an abundant number, since it is smaller than the sum of its proper divisors (942866009712).

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

359827853616 is a wasteful number, since it uses less digits than its factorization.

359827853616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570 (or 554 counting only the distinct ones).

The product of its digits is 65318400, while the sum is 63.

The spelling of 359827853616 in words is "three hundred fifty-nine billion, eight hundred twenty-seven million, eight hundred fifty-three thousand, six hundred sixteen".