535854274560 has 1728 divisors, whose sum is σ = 2259276364800. Its totient is φ = 116313292800.

The previous prime is 535854274559. The next prime is 535854274607. The reversal of 535854274560 is 65472458535.

535854274560 is a `hidden beast` number, since 5 + 3 + 5 + 8 + 5 + 4 + 2 + 74 + 560 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 535854274497 and 535854274506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9082275811 + ... + 9082275869.

It is an arithmetic number, because the mean of its divisors is an integer number (1307451600).

Almost surely, 2^535854274560 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 535854274560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1129638182400).

535854274560 is an abundant number, since it is smaller than the sum of its proper divisors (1723422090240).

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

535854274560 is a wasteful number, since it uses less digits than its factorization.

535854274560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 20160000, while the sum is 54.

The spelling of 535854274560 in words is "five hundred thirty-five billion, eight hundred fifty-four million, two hundred seventy-four thousand, five hundred sixty".