504505053250240 has 448 divisors, whose sum is σ = 1399388162457600. Its totient is φ = 169677002686464.

The previous prime is 504505053250193. The next prime is 504505053250243. The reversal of 504505053250240 is 42052350505405.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 504505053250193 and 504505053250202.

It is not an unprimeable number, because it can be changed into a prime (504505053250243) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20086186162 + ... + 20086211278.

It is an arithmetic number, because the mean of its divisors is an integer number (3123634291200).

Almost surely, 2^{504505053250240} 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 504505053250240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699694081228800).

504505053250240 is an abundant number, since it is smaller than the sum of its proper divisors (894883109207360).

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

504505053250240 is a wasteful number, since it uses less digits than its factorization.

504505053250240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25952 (or 25942 counting only the distinct ones).

The product of its (nonzero) digits is 600000, while the sum is 40.

The spelling of 504505053250240 in words is "five hundred four trillion, five hundred five billion, fifty-three million, two hundred fifty thousand, two hundred forty".