52505107200 has 1944 divisors, whose sum is σ = 248473815408. Its totient is φ = 10868981760.

The previous prime is 52505107183. The next prime is 52505107217. The reversal of 52505107200 is 270150525.

It is a happy number.

52505107200 is a `hidden beast` number, since 52 + 505 + 107 + 2 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (52505107183) and next prime (52505107217).

It is a tau number, because it is divible by the number of its divisors (1944).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 990662374 + ... + 990662426.

Almost surely, 2^52505107200 is an apocalyptic number.

52505107200 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 52505107200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124236907704).

52505107200 is an abundant number, since it is smaller than the sum of its proper divisors (195968708208).

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

52505107200 is a wasteful number, since it uses less digits than its factorization.

52505107200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 3500, while the sum is 27.

Adding to 52505107200 its reverse (270150525), we get a palindrome (52775257725).

The spelling of 52505107200 in words is "fifty-two billion, five hundred five million, one hundred seven thousand, two hundred".