520520545641600 has 1152 divisors, whose sum is σ = 2192089916016000. Its totient is φ = 117542492282880.

The previous prime is 520520545641581. The next prime is 520520545641703. The reversal of 520520545641600 is 6146545025025.

520520545641600 is a `hidden beast` number, since 5 + 2 + 0 + 5 + 2 + 0 + 545 + 6 + 41 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 819589774 + ... + 820224626.

It is an arithmetic number, because the mean of its divisors is an integer number (1902855829875).

Almost surely, 2^{520520545641600} is an apocalyptic number.

520520545641600 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 520520545641600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1096044958008000).

520520545641600 is an abundant number, since it is smaller than the sum of its proper divisors (1671569370374400).

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

520520545641600 is a wasteful number, since it uses less digits than its factorization.

520520545641600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634987 (or 634953 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 45.

The spelling of 520520545641600 in words is "five hundred twenty trillion, five hundred twenty billion, five hundred forty-five million, six hundred forty-one thousand, six hundred".