523531491840 has 960 divisors, whose sum is σ = 2183674521600. Its totient is φ = 115750010880.

The previous prime is 523531491803. The next prime is 523531491851. The reversal of 523531491840 is 48194135325.

523531491840 is a `hidden beast` number, since 5 + 23 + 531 + 4 + 91 + 8 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

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 95 ways as a sum of consecutive naturals, for example, 244983252 + ... + 244985388.

It is an arithmetic number, because the mean of its divisors is an integer number (2274660960).

Almost surely, 2^523531491840 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 523531491840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1091837260800).

523531491840 is an abundant number, since it is smaller than the sum of its proper divisors (1660143029760).

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

523531491840 is a wasteful number, since it uses less digits than its factorization.

523531491840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2218 (or 2185 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 523531491840 in words is "five hundred twenty-three billion, five hundred thirty-one million, four hundred ninety-one thousand, eight hundred forty".