52816478457600 has 5184 divisors, whose sum is σ = 244021629616128. Its totient is φ = 11125776384000.

The previous prime is 52816478457581. The next prime is 52816478457649. The reversal of 52816478457600 is 675487461825.

52816478457600 is a `hidden beast` number, since 5 + 2 + 8 + 16 + 4 + 7 + 8 + 4 + 5 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (5184).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 324027475119 + ... + 324027475281.

Almost surely, 2^{52816478457600} is an apocalyptic number.

52816478457600 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 52816478457600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122010814808064).

52816478457600 is an abundant number, since it is smaller than the sum of its proper divisors (191205151158528).

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

52816478457600 is a wasteful number, since it uses less digits than its factorization.

52816478457600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 90316800, while the sum is 63.

The spelling of 52816478457600 in words is "fifty-two trillion, eight hundred sixteen billion, four hundred seventy-eight million, four hundred fifty-seven thousand, six hundred".