521842161536400 has 480 divisors, whose sum is σ = 1686985496017920. Its totient is φ = 137886739200000.

The previous prime is 521842161536357. The next prime is 521842161536417. The reversal of 521842161536400 is 4635161248125.

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

It is a self number, because there is not a number n which added to its sum of digits gives 521842161536400.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 118843578205 + ... + 118843582595.

It is an arithmetic number, because the mean of its divisors is an integer number (3514553116704).

Almost surely, 2^{521842161536400} is an apocalyptic number.

521842161536400 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 521842161536400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (843492748008960).

521842161536400 is an abundant number, since it is smaller than the sum of its proper divisors (1165143334481520).

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

521842161536400 is a wasteful number, since it uses less digits than its factorization.

521842161536400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6615 (or 6604 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 48.

The spelling of 521842161536400 in words is "five hundred twenty-one trillion, eight hundred forty-two billion, one hundred sixty-one million, five hundred thirty-six thousand, four hundred".