521420328000 has 2240 divisors, whose sum is σ = 2406764295936. Its totient is φ = 109486080000.

The previous prime is 521420327999. The next prime is 521420328001. The reversal of 521420328000 is 823024125.

It is an interprime number because it is at equal distance from previous prime (521420327999) and next prime (521420328001).

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 (521420328001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1575287835 + ... + 1575288165.

Almost surely, 2^521420328000 is an apocalyptic number.

521420328000 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 521420328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1203382147968).

521420328000 is an abundant number, since it is smaller than the sum of its proper divisors (1885343967936).

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

521420328000 is a wasteful number, since it uses less digits than its factorization.

521420328000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 521420328000 in words is "five hundred twenty-one billion, four hundred twenty million, three hundred twenty-eight thousand".