52725254400 has 1296 divisors, whose sum is σ = 242709465600. Its totient is φ = 11101224960.

The previous prime is 52725254371. The next prime is 52725254459. The reversal of 52725254400 is 445252725.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 143 ways as a sum of consecutive naturals, for example, 110073361 + ... + 110073839.

Almost surely, 2^52725254400 is an apocalyptic number.

52725254400 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 52725254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121354732800).

52725254400 is an abundant number, since it is smaller than the sum of its proper divisors (189984211200).

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

52725254400 is a wasteful number, since it uses less digits than its factorization.

52725254400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 112000, while the sum is 36.

The spelling of 52725254400 in words is "fifty-two billion, seven hundred twenty-five million, two hundred fifty-four thousand, four hundred".