52598022400 has 648 divisors, whose sum is σ = 169357271552. Its totient is φ = 15814656000.

The previous prime is 52598022377. The next prime is 52598022413. The reversal of 52598022400 is 422089525.

It is a self number, because there is not a number n which added to its sum of digits gives 52598022400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 168044644 + ... + 168044956.

Almost surely, 2^52598022400 is an apocalyptic number.

52598022400 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 52598022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84678635776).

52598022400 is an abundant number, since it is smaller than the sum of its proper divisors (116759249152).

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

52598022400 is a wasteful number, since it uses less digits than its factorization.

52598022400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 37.

The spelling of 52598022400 in words is "fifty-two billion, five hundred ninety-eight million, twenty-two thousand, four hundred".