506016260400 has 240 divisors, whose sum is σ = 1852979965184. Its totient is φ = 115630986240.

The previous prime is 506016260377. The next prime is 506016260413. The reversal of 506016260400 is 4062610605.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 47 ways as a sum of consecutive naturals, for example, 60837042 + ... + 60845358.

Almost surely, 2^506016260400 is an apocalyptic number.

506016260400 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 506016260400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (926489982592).

506016260400 is an abundant number, since it is smaller than the sum of its proper divisors (1346963704784).

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

506016260400 is a wasteful number, since it uses less digits than its factorization.

506016260400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15588 (or 15577 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 506016260400 in words is "five hundred six billion, sixteen million, two hundred sixty thousand, four hundred".