520095147264 has 1008 divisors, whose sum is σ = 2055722094720. Its totient is φ = 127083479040.

The previous prime is 520095147251. The next prime is 520095147287. The reversal of 520095147264 is 462741590025.

520095147264 is a `hidden beast` number, since 5 + 2 + 0 + 0 + 9 + 514 + 72 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 244289752 + ... + 244291880.

It is an arithmetic number, because the mean of its divisors is an integer number (2039406840).

Almost surely, 2^520095147264 is an apocalyptic number.

520095147264 is a gapful number since it is divisible by the number (54) 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 520095147264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1027861047360).

520095147264 is an abundant number, since it is smaller than the sum of its proper divisors (1535626947456).

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

520095147264 is a wasteful number, since it uses less digits than its factorization.

520095147264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2198 (or 2169 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 520095147264 in words is "five hundred twenty billion, ninety-five million, one hundred forty-seven thousand, two hundred sixty-four".