52415646400 has 168 divisors, whose sum is σ = 142286455584. Its totient is φ = 18881126400.

The previous prime is 52415646373. The next prime is 52415646401. The reversal of 52415646400 is 464651425.

It is a self number, because there is not a number n which added to its sum of digits gives 52415646400.

It is not an unprimeable number, because it can be changed into a prime (52415646401) 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, 822069 + ... + 883531.

It is an arithmetic number, because the mean of its divisors is an integer number (846943188).

Almost surely, 2^52415646400 is an apocalyptic number.

52415646400 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 52415646400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71143227792).

52415646400 is an abundant number, since it is smaller than the sum of its proper divisors (89870809184).

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

52415646400 is a wasteful number, since it uses less digits than its factorization.

52415646400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61539 (or 61524 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 37.

The spelling of 52415646400 in words is "fifty-two billion, four hundred fifteen million, six hundred forty-six thousand, four hundred".