520363345050400 has 144 divisors (see below), whose sum is σ = 1274864562820800. Its totient is φ = 207403711400960.

The previous prime is 520363345050221. The next prime is 520363345050491. The reversal of 520363345050400 is 4050543363025.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1588833861 + ... + 1589161339.

It is an arithmetic number, because the mean of its divisors is an integer number (8853226130700).

Almost surely, 2^{520363345050400} is an apocalyptic number.

520363345050400 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 520363345050400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637432281410400).

520363345050400 is an abundant number, since it is smaller than the sum of its proper divisors (754501217770400).

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

520363345050400 is a wasteful number, since it uses less digits than its factorization.

520363345050400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334571 (or 334558 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 40.

The spelling of 520363345050400 in words is "five hundred twenty trillion, three hundred sixty-three billion, three hundred forty-five million, fifty thousand, four hundred".