521284711680 has 216 divisors, whose sum is σ = 1804153078728. Its totient is φ = 138965925888.

The previous prime is 521284711657. The next prime is 521284711687. The reversal of 521284711680 is 86117482125.

521284711680 is a `hidden beast` number, since 5 + 2 + 12 + 8 + 471 + 168 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3851940096 + 517432771584 = 62064^2 + 719328^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (521284711687) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56823574 + ... + 56832746.

Almost surely, 2^521284711680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 521284711680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (902076539364).

521284711680 is an abundant number, since it is smaller than the sum of its proper divisors (1282868367048).

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

521284711680 is a wasteful number, since it uses less digits than its factorization.

521284711680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14133 (or 14116 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 521284711680 in words is "five hundred twenty-one billion, two hundred eighty-four million, seven hundred eleven thousand, six hundred eighty".