52552544000 has 144 divisors (see below), whose sum is σ = 142817272416. Its totient is φ = 19109888000.

The previous prime is 52552543987. The next prime is 52552544021. The reversal of 52552544000 is 44525525.

It is a Harshad number since it is a multiple of its sum of digits (32).

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 15 ways as a sum of consecutive naturals, for example, 277352 + ... + 426648.

It is an arithmetic number, because the mean of its divisors is an integer number (991786614).

Almost surely, 2^52552544000 is an apocalyptic number.

52552544000 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 52552544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71408636208).

52552544000 is an abundant number, since it is smaller than the sum of its proper divisors (90264728416).

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

52552544000 is a wasteful number, since it uses less digits than its factorization.

52552544000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149339 (or 149315 counting only the distinct ones).

The product of its (nonzero) digits is 40000, while the sum is 32.

It can be divided in two parts, 525 and 52544000, that added together give a palindrome (52544525).

The spelling of 52552544000 in words is "fifty-two billion, five hundred fifty-two million, five hundred forty-four thousand".