530580435840 has 1152 divisors, whose sum is σ = 2351882070720. Its totient is φ = 109185269760.

The previous prime is 530580435839. The next prime is 530580435851. The reversal of 530580435840 is 48534085035.

530580435840 is a `hidden beast` number, since 5 + 30 + 580 + 4 + 35 + 8 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 150432157 + ... + 150435683.

Almost surely, 2^530580435840 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 530580435840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1175941035360).

530580435840 is an abundant number, since it is smaller than the sum of its proper divisors (1821301634880).

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

530580435840 is a wasteful number, since it uses less digits than its factorization.

530580435840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3620 (or 3598 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The spelling of 530580435840 in words is "five hundred thirty billion, five hundred eighty million, four hundred thirty-five thousand, eight hundred forty".