523531000080 has 420 divisors, whose sum is σ = 2005996256460. Its totient is φ = 126914895360.

The previous prime is 523531000073. The next prime is 523531000121. The reversal of 523531000080 is 80000135325.

523531000080 is a `hidden beast` number, since 52 + 3 + 531 + 0 + 0 + 0 + 0 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 181895426064 + 341635574016 = 426492^2 + 584496^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

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 83 ways as a sum of consecutive naturals, for example, 7019626 + ... + 7093814.

It is an arithmetic number, because the mean of its divisors is an integer number (4776181563).

Almost surely, 2^523531000080 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 523531000080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1002998128230).

523531000080 is an abundant number, since it is smaller than the sum of its proper divisors (1482465256380).

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

523531000080 is a wasteful number, since it uses less digits than its factorization.

523531000080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74242 (or 74210 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 523531000080 in words is "five hundred twenty-three billion, five hundred thirty-one million, eighty", and thus it is an aban number.