520728145017600 has 864 divisors, whose sum is σ = 1958371070229504. Its totient is φ = 120879282585600.

The previous prime is 520728145017547. The next prime is 520728145017659. The reversal of 520728145017600 is 6710541827025.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 520728145017600.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 406958022 + ... + 408235578.

It is an arithmetic number, because the mean of its divisors is an integer number (2266633183136).

Almost surely, 2^{520728145017600} is an apocalyptic number.

520728145017600 is a gapful number since it is divisible by the number (50) 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 520728145017600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (979185535114752).

520728145017600 is an abundant number, since it is smaller than the sum of its proper divisors (1437642925211904).

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

520728145017600 is a wasteful number, since it uses less digits than its factorization.

520728145017600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1277693 (or 1277674 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 48.

The spelling of 520728145017600 in words is "five hundred twenty trillion, seven hundred twenty-eight billion, one hundred forty-five million, seventeen thousand, six hundred".