536531274240 has 320 divisors, whose sum is σ = 1892230889472. Its totient is φ = 128847052800.

The previous prime is 536531274239. The next prime is 536531274313. The reversal of 536531274240 is 42472135635.

It is a tau number, because it is divible by the number of its divisors (320).

It is a junction number, because it is equal to n+sod(n) for n = 536531274192 and 536531274201.

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 31 ways as a sum of consecutive naturals, for example, 4027905 + ... + 4158975.

Almost surely, 2^536531274240 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 536531274240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (946115444736).

536531274240 is an abundant number, since it is smaller than the sum of its proper divisors (1355699615232).

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

536531274240 is a wasteful number, since it uses less digits than its factorization.

536531274240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131151 (or 131135 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 42.

The spelling of 536531274240 in words is "five hundred thirty-six billion, five hundred thirty-one million, two hundred seventy-four thousand, two hundred forty".