53285328105984 has 400 divisors, whose sum is σ = 172173795171840. Its totient is φ = 16309613813760.

The previous prime is 53285328105959. The next prime is 53285328105991. The reversal of 53285328105984 is 48950182358235.

It is a happy number.

53285328105984 is a `hidden beast` number, since 5 + 3 + 2 + 8 + 5 + 3 + 28 + 10 + 598 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 102716247 + ... + 103233705.

Almost surely, 2^{53285328105984} is an apocalyptic number.

53285328105984 is a gapful number since it is divisible by the number (54) 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 53285328105984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86086897585920).

53285328105984 is an abundant number, since it is smaller than the sum of its proper divisors (118888467065856).

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

53285328105984 is a wasteful number, since it uses less digits than its factorization.

53285328105984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517693 (or 517668 counting only the distinct ones).

The product of its (nonzero) digits is 82944000, while the sum is 63.

The spelling of 53285328105984 in words is "fifty-three trillion, two hundred eighty-five billion, three hundred twenty-eight million, one hundred five thousand, nine hundred eighty-four".