521958009216 has 256 divisors, whose sum is σ = 1660058910720. Its totient is φ = 142164633600.

The previous prime is 521958009197. The next prime is 521958009217. The reversal of 521958009216 is 612900859125.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (521958009217) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5536231 + ... + 5629721.

It is an arithmetic number, because the mean of its divisors is an integer number (6484605120).

Almost surely, 2^521958009216 is an apocalyptic number.

521958009216 is a gapful number since it is divisible by the number (56) 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 521958009216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (830029455360).

521958009216 is an abundant number, since it is smaller than the sum of its proper divisors (1138100901504).

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

521958009216 is a wasteful number, since it uses less digits than its factorization.

521958009216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93613 (or 93601 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 48.

The spelling of 521958009216 in words is "five hundred twenty-one billion, nine hundred fifty-eight million, nine thousand, two hundred sixteen".