53825587200 has 1728 divisors, whose sum is σ = 252850066560. Its totient is φ = 10616832000.

The previous prime is 53825587157. The next prime is 53825587219. The reversal of 53825587200 is 278552835.

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 143 ways as a sum of consecutive naturals, for example, 1312819180 + ... + 1312819220.

It is an arithmetic number, because the mean of its divisors is an integer number (146325270).

Almost surely, 2^53825587200 is an apocalyptic number.

53825587200 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 53825587200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126425033280).

53825587200 is an abundant number, since it is smaller than the sum of its proper divisors (199024479360).

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

53825587200 is a wasteful number, since it uses less digits than its factorization.

53825587200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The spelling of 53825587200 in words is "fifty-three billion, eight hundred twenty-five million, five hundred eighty-seven thousand, two hundred".