503249826240 has 504 divisors, whose sum is σ = 2087879695200. Its totient is φ = 108972822528.

The previous prime is 503249826227. The next prime is 503249826241. The reversal of 503249826240 is 42628942305.

503249826240 is a `hidden beast` number, since 5 + 0 + 324 + 9 + 82 + 6 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×503249826240² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (503249826241) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 7243186 + ... + 7312334.

Almost surely, 2^503249826240 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 503249826240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1043939847600).

503249826240 is an abundant number, since it is smaller than the sum of its proper divisors (1584629868960).

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

503249826240 is a wasteful number, since it uses less digits than its factorization.

503249826240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69217 (or 69185 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 503249826240 in words is "five hundred three billion, two hundred forty-nine million, eight hundred twenty-six thousand, two hundred forty".