523575930240 has 1536 divisors, whose sum is σ = 2183318323200. Its totient is φ = 117515059200.

The previous prime is 523575930197. The next prime is 523575930257. The reversal of 523575930240 is 42039575325.

523575930240 is a `hidden beast` number, since 5 + 2 + 3 + 57 + 593 + 0 + 2 + 4 + 0 = 666.

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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4122645057 + ... + 4122645183.

It is an arithmetic number, because the mean of its divisors is an integer number (1421431200).

Almost surely, 2^523575930240 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 523575930240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1091659161600).

523575930240 is an abundant number, since it is smaller than the sum of its proper divisors (1659742392960).

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

523575930240 is a wasteful number, since it uses less digits than its factorization.

523575930240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 1134000, while the sum is 45.

The spelling of 523575930240 in words is "five hundred twenty-three billion, five hundred seventy-five million, nine hundred thirty thousand, two hundred forty".