52105267200 has 1152 divisors, whose sum is σ = 214486272000. Its totient is φ = 11127029760.

The previous prime is 52105267199. The next prime is 52105267217. The reversal of 52105267200 is 276250125.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1211750379 + ... + 1211750421.

It is an arithmetic number, because the mean of its divisors is an integer number (186186000).

Almost surely, 2^52105267200 is an apocalyptic number.

52105267200 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 52105267200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107243136000).

52105267200 is an abundant number, since it is smaller than the sum of its proper divisors (162381004800).

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

52105267200 is a wasteful number, since it uses less digits than its factorization.

52105267200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The spelling of 52105267200 in words is "fifty-two billion, one hundred five million, two hundred sixty-seven thousand, two hundred".