520416152256 has 672 divisors, whose sum is σ = 1873630796800. Its totient is φ = 124047728640.

The previous prime is 520416152237. The next prime is 520416152273. The reversal of 520416152256 is 652251614025.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 420707670 + ... + 420708906.

Almost surely, 2^520416152256 is an apocalyptic number.

520416152256 is a gapful number since it is divisible by the number (56) 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 520416152256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (936815398400).

520416152256 is an abundant number, since it is smaller than the sum of its proper divisors (1353214644544).

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

520416152256 is a wasteful number, since it uses less digits than its factorization.

520416152256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1493 (or 1472 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 39.

The spelling of 520416152256 in words is "five hundred twenty billion, four hundred sixteen million, one hundred fifty-two thousand, two hundred fifty-six".