52217354649600 has 792 divisors, whose sum is σ = 213789663706320. Its totient is φ = 11934640373760.

The previous prime is 52217354649587. The next prime is 52217354649709. The reversal of 52217354649600 is 694645371225.

It is a happy number.

52217354649600 is a `hidden beast` number, since 5 + 2 + 2 + 1 + 7 + 3 + 546 + 4 + 96 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3303006496 + ... + 3303022304.

Almost surely, 2^{52217354649600} is an apocalyptic number.

52217354649600 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 52217354649600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106894831853160).

52217354649600 is an abundant number, since it is smaller than the sum of its proper divisors (161572309056720).

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

52217354649600 is an frugal number, since it uses more digits than its factorization.

52217354649600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15874 (or 15826 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 52217354649600 in words is "fifty-two trillion, two hundred seventeen billion, three hundred fifty-four million, six hundred forty-nine thousand, six hundred".