359557357775616 has 864 divisors, whose sum is σ = 1429542676144128. Its totient is φ = 83877604392960.

The previous prime is 359557357775557. The next prime is 359557357775617. The reversal of 359557357775616 is 616577753755953.

359557357775616 is a `hidden beast` number, since 3 + 5 + 9 + 557 + 3 + 5 + 7 + 7 + 7 + 56 + 1 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (359557357775617) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 83226465 + ... + 87440031.

Almost surely, 2^{359557357775616} is an apocalyptic number.

359557357775616 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 359557357775616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714771338072064).

359557357775616 is an abundant number, since it is smaller than the sum of its proper divisors (1069985318368512).

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

359557357775616 is a wasteful number, since it uses less digits than its factorization.

359557357775616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4213657 (or 4213640 counting only the distinct ones).

The product of its digits is 21879112500, while the sum is 81.

The spelling of 359557357775616 in words is "three hundred fifty-nine trillion, five hundred fifty-seven billion, three hundred fifty-seven million, seven hundred seventy-five thousand, six hundred sixteen".