505104858720 has 2304 divisors, whose sum is σ = 2361928826880. Its totient is φ = 98537472000.

The previous prime is 505104858707. The next prime is 505104858733. The reversal of 505104858720 is 27858401505.

505104858720 is a `hidden beast` number, since 5 + 0 + 5 + 1 + 0 + 48 + 587 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (505104858707) and next prime (505104858733).

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 polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 6919244604 + ... + 6919244676.

It is an arithmetic number, because the mean of its divisors is an integer number (1025142720).

Almost surely, 2^505104858720 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 505104858720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1180964413440).

505104858720 is an abundant number, since it is smaller than the sum of its proper divisors (1856823968160).

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

505104858720 is a wasteful number, since it uses less digits than its factorization.

505104858720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 448000, while the sum is 45.

The spelling of 505104858720 in words is "five hundred five billion, one hundred four million, eight hundred fifty-eight thousand, seven hundred twenty".