520091712000 has 2560 divisors, whose sum is σ = 2418588057600. Its totient is φ = 107495424000.

The previous prime is 520091711947. The next prime is 520091712001. The reversal of 520091712000 is 217190025.

520091712000 is a `hidden beast` number, since 520 + 0 + 9 + 17 + 120 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (520091712001) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 7124543964 + ... + 7124544036.

It is an arithmetic number, because the mean of its divisors is an integer number (944760960).

Almost surely, 2^520091712000 is an apocalyptic number.

520091712000 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 520091712000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1209294028800).

520091712000 is an abundant number, since it is smaller than the sum of its proper divisors (1898496345600).

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

520091712000 is a wasteful number, since it uses less digits than its factorization.

520091712000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The spelling of 520091712000 in words is "five hundred twenty billion, ninety-one million, seven hundred twelve thousand".