535281601680 has 960 divisors, whose sum is σ = 2258373312000. Its totient is φ = 113148887040.

The previous prime is 535281601639. The next prime is 535281601681. The reversal of 535281601680 is 86106182535.

535281601680 is a `hidden beast` number, since 5 + 3 + 528 + 1 + 60 + 1 + 68 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (535281601681) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 247699800 + ... + 247701960.

It is an arithmetic number, because the mean of its divisors is an integer number (2352472200).

Almost surely, 2^535281601680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 535281601680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1129186656000).

535281601680 is an abundant number, since it is smaller than the sum of its proper divisors (1723091710320).

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

535281601680 is a wasteful number, since it uses less digits than its factorization.

535281601680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2277 (or 2254 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 535281601680 in words is "five hundred thirty-five billion, two hundred eighty-one million, six hundred one thousand, six hundred eighty".