523532530400 has 288 divisors, whose sum is σ = 1490937386400. Its totient is φ = 177397760000.

The previous prime is 523532530397. The next prime is 523532530429. The reversal of 523532530400 is 4035235325.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15092276 + ... + 15126924.

It is an arithmetic number, because the mean of its divisors is an integer number (5176865925).

Almost surely, 2^523532530400 is an apocalyptic number.

523532530400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 523532530400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745468693200).

523532530400 is an abundant number, since it is smaller than the sum of its proper divisors (967404856000).

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

523532530400 is a wasteful number, since it uses less digits than its factorization.

523532530400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34798 (or 34785 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 32.

Adding to 523532530400 its reverse (4035235325), we get a palindrome (527567765725).

The spelling of 523532530400 in words is "five hundred twenty-three billion, five hundred thirty-two million, five hundred thirty thousand, four hundred".