52555214400 has 1008 divisors, whose sum is σ = 205005700224. Its totient is φ = 11731599360.

The previous prime is 52555214381. The next prime is 52555214401. The reversal of 52555214400 is 441255525.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52555214401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 510244749 + ... + 510244851.

Almost surely, 2^52555214400 is an apocalyptic number.

52555214400 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 52555214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102502850112).

52555214400 is an abundant number, since it is smaller than the sum of its proper divisors (152450485824).

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

52555214400 is a wasteful number, since it uses less digits than its factorization.

52555214400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 40000, while the sum is 33.

Adding to 52555214400 its reverse (441255525), we get a palindrome (52996469925).

The spelling of 52555214400 in words is "fifty-two billion, five hundred fifty-five million, two hundred fourteen thousand, four hundred".