52800124800 has 576 divisors, whose sum is σ = 187378475760. Its totient is φ = 13057228800.

The previous prime is 52800124789. The next prime is 52800124829. The reversal of 52800124800 is 842100825.

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, 187900660 + ... + 187900940.

Almost surely, 2^52800124800 is an apocalyptic number.

52800124800 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 52800124800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93689237880).

52800124800 is an abundant number, since it is smaller than the sum of its proper divisors (134578350960).

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

52800124800 is a wasteful number, since it uses less digits than its factorization.

52800124800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The spelling of 52800124800 in words is "fifty-two billion, eight hundred million, one hundred twenty-four thousand, eight hundred".