52918824400 has 240 divisors, whose sum is σ = 139858312384. Its totient is φ = 19123568640.

The previous prime is 52918824397. The next prime is 52918824403. The reversal of 52918824400 is 442881925.

It is an interprime number because it is at equal distance from previous prime (52918824397) and next prime (52918824403).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52918824403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67240807 + ... + 67241593.

Almost surely, 2^52918824400 is an apocalyptic number.

52918824400 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 52918824400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69929156192).

52918824400 is an abundant number, since it is smaller than the sum of its proper divisors (86939487984).

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

52918824400 is a wasteful number, since it uses less digits than its factorization.

52918824400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1078 (or 1067 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 43.

The spelling of 52918824400 in words is "fifty-two billion, nine hundred eighteen million, eight hundred twenty-four thousand, four hundred".