52077043200 has 720 divisors, whose sum is σ = 215615418480. Its totient is φ = 10982522880.

The previous prime is 52077043199. The next prime is 52077043223. The reversal of 52077043200 is 234077025.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 24459736 + ... + 24461864.

It is an arithmetic number, because the mean of its divisors is an integer number (299465859).

Almost surely, 2^52077043200 is an apocalyptic number.

52077043200 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 52077043200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107807709240).

52077043200 is an abundant number, since it is smaller than the sum of its proper divisors (163538375280).

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

52077043200 is a wasteful number, since it uses less digits than its factorization.

52077043200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2187 (or 2159 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 30.

It can be divided in two parts, 5207 and 7043200, that added together give a palindrome (7048407).

The spelling of 52077043200 in words is "fifty-two billion, seventy-seven million, forty-three thousand, two hundred".