523504506470400 has 6144 divisors, whose sum is σ = 2537498423040000. Its totient is φ = 104640345538560.

The previous prime is 523504506470371. The next prime is 523504506470423. The reversal of 523504506470400 is 4074605405325.

523504506470400 is a `hidden beast` number, since 5 + 2 + 35 + 0 + 4 + 506 + 4 + 70 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6144).

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 383 ways as a sum of consecutive naturals, for example, 27552868761591 + ... + 27552868761609.

It is an arithmetic number, because the mean of its divisors is an integer number (413004300625).

Almost surely, 2^{523504506470400} is an apocalyptic number.

523504506470400 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 523504506470400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1268749211520000).

523504506470400 is an abundant number, since it is smaller than the sum of its proper divisors (2013993916569600).

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

523504506470400 is an frugal number, since it uses more digits than its factorization.

523504506470400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 2016000, while the sum is 45.

The spelling of 523504506470400 in words is "five hundred twenty-three trillion, five hundred four billion, five hundred six million, four hundred seventy thousand, four hundred".