536057533440 has 2112 divisors, whose sum is σ = 2379386161152. Its totient is φ = 113865523200.

The previous prime is 536057533439. The next prime is 536057533477. The reversal of 536057533440 is 44335750635.

It is a happy number.

536057533440 is a `hidden beast` number, since 5 + 3 + 6 + 0 + 575 + 3 + 34 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

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

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4092042175 + ... + 4092042305.

It is an arithmetic number, because the mean of its divisors is an integer number (1126603296).

Almost surely, 2^536057533440 is an apocalyptic number.

It is a pronic number, being equal to 732159×732160.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 536057533440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1189693080576).

536057533440 is an abundant number, since it is smaller than the sum of its proper divisors (1843328627712).

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

536057533440 is a wasteful number, since it uses less digits than its factorization.

536057533440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 2268000, while the sum is 45.

The spelling of 536057533440 in words is "five hundred thirty-six billion, fifty-seven million, five hundred thirty-three thousand, four hundred forty".