52679095200 has 432 divisors, whose sum is σ = 194619481056. Its totient is φ = 13903488000.

The previous prime is 52679095199. The next prime is 52679095213. The reversal of 52679095200 is 259097625.

52679095200 is a `hidden beast` number, since 52 + 6 + 79 + 0 + 9 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 19633059 + ... + 19635741.

It is an arithmetic number, because the mean of its divisors is an integer number (450508058).

Almost surely, 2^52679095200 is an apocalyptic number.

52679095200 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 52679095200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97309740528).

52679095200 is an abundant number, since it is smaller than the sum of its proper divisors (141940385856).

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

52679095200 is a wasteful number, since it uses less digits than its factorization.

52679095200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2819 (or 2794 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The spelling of 52679095200 in words is "fifty-two billion, six hundred seventy-nine million, ninety-five thousand, two hundred".