52389820800 has 288 divisors, whose sum is σ = 189579227760. Its totient is φ = 13773312000.

The previous prime is 52389820793. The next prime is 52389820801. The reversal of 52389820800 is 802898325.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×52389820800² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52389820801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2031990 + ... + 2057610.

Almost surely, 2^52389820800 is an apocalyptic number.

52389820800 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 52389820800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94789613880).

52389820800 is an abundant number, since it is smaller than the sum of its proper divisors (137189406960).

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

52389820800 is a wasteful number, since it uses less digits than its factorization.

52389820800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25722 (or 25702 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 52389820800 in words is "fifty-two billion, three hundred eighty-nine million, eight hundred twenty thousand, eight hundred".