535725711360 has 1344 divisors, whose sum is σ = 2262470805504. Its totient is φ = 114661785600.

The previous prime is 535725711331. The next prime is 535725711373. The reversal of 535725711360 is 63117527535.

535725711360 is a `hidden beast` number, since 5 + 3 + 5 + 7 + 2 + 571 + 13 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

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 95 ways as a sum of consecutive naturals, for example, 2959810470 + ... + 2959810650.

It is an arithmetic number, because the mean of its divisors is an integer number (1683386016).

Almost surely, 2^535725711360 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 535725711360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1131235402752).

535725711360 is an abundant number, since it is smaller than the sum of its proper divisors (1726745094144).

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

535725711360 is a wasteful number, since it uses less digits than its factorization.

535725711360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 661500, while the sum is 45.

The spelling of 535725711360 in words is "five hundred thirty-five billion, seven hundred twenty-five million, seven hundred eleven thousand, three hundred sixty".