52838065800 has 672 divisors, whose sum is σ = 202049750280. Its totient is φ = 12765081600.

The previous prime is 52838065757. The next prime is 52838065817. The reversal of 52838065800 is 856083825.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 93431556 + 52744634244 = 9666^2 + 229662^2 .

It is a super-2 number, since 2×52838065800² (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 an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 115619172 + ... + 115619628.

Almost surely, 2^52838065800 is an apocalyptic number.

52838065800 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 52838065800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101024875140).

52838065800 is an abundant number, since it is smaller than the sum of its proper divisors (149211684480).

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

52838065800 is a wasteful number, since it uses less digits than its factorization.

52838065800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 52838065800 in words is "fifty-two billion, eight hundred thirty-eight million, sixty-five thousand, eight hundred".