52198833889125 has 192 divisors, whose sum is σ = 117752033318400. Its totient is φ = 21612369024000.

The previous prime is 52198833889109. The next prime is 52198833889159.

It is a happy number.

52198833889125 is a `hidden beast` number, since 5 + 2 + 1 + 98 + 8 + 338 + 89 + 125 = 666.

52198833889125 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 52198833889125 - 2⁴ = 52198833889109 is a prime.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 22182081 + ... + 24422169.

It is an arithmetic number, because the mean of its divisors is an integer number (613291840200).

Almost surely, 2^{52198833889125} is an apocalyptic number.

52198833889125 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

52198833889125 is an abundant number, since it is smaller than the sum of its proper divisors (65553199429275).

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

52198833889125 is a wasteful number, since it uses less digits than its factorization.

52198833889125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2240397 (or 2240384 counting only the distinct ones).

The product of its digits is 298598400, while the sum is 72.

The spelling of 52198833889125 in words is "fifty-two trillion, one hundred ninety-eight billion, eight hundred thirty-three million, eight hundred eighty-nine thousand, one hundred twenty-five".