534053261064960 has 2592 divisors, whose sum is σ = 2411183958543360. Its totient is φ = 106564465852416.

The previous prime is 534053261064907. The next prime is 534053261064997. The reversal of 534053261064960 is 69460162350435.

534053261064960 is a `hidden beast` number, since 5 + 3 + 4 + 0 + 532 + 6 + 1 + 0 + 6 + 49 + 60 = 666.

It is a super-3 number, since 3×534053261064960³ (a number of 45 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 534053261064897 and 534053261064906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 188245772662 + ... + 188245775498.

Almost surely, 2^{534053261064960} 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 534053261064960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1205591979271680).

534053261064960 is an abundant number, since it is smaller than the sum of its proper divisors (1877130697478400).

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

534053261064960 is a wasteful number, since it uses less digits than its factorization.

534053261064960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3643 (or 3613 counting only the distinct ones).

The product of its (nonzero) digits is 13996800, while the sum is 54.

The spelling of 534053261064960 in words is "five hundred thirty-four trillion, fifty-three billion, two hundred sixty-one million, sixty-four thousand, nine hundred sixty".