536533320960 has 2880 divisors, whose sum is σ = 2582774853120. Its totient is φ = 103195607040.

The previous prime is 536533320949. The next prime is 536533320977. The reversal of 536533320960 is 69023335635.

536533320960 is a `hidden beast` number, since 5 + 3 + 6 + 533 + 3 + 20 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 7349771484 + ... + 7349771556.

It is an arithmetic number, because the mean of its divisors is an integer number (896796824).

Almost surely, 2^536533320960 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 536533320960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1291387426560).

536533320960 is an abundant number, since it is smaller than the sum of its proper divisors (2046241532160).

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

536533320960 is a wasteful number, since it uses less digits than its factorization.

536533320960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 1312200, while the sum is 45.

The spelling of 536533320960 in words is "five hundred thirty-six billion, five hundred thirty-three million, three hundred twenty thousand, nine hundred sixty".