52106266651200 has 336 divisors, whose sum is σ = 178402002124416. Its totient is φ = 13289582592000.

The previous prime is 52106266651171. The next prime is 52106266651207. The reversal of 52106266651200 is 215666260125.

It is a happy number.

It is a super-2 number, since 2×52106266651200² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (52106266651207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1722335274 + ... + 1722365526.

It is an arithmetic number, because the mean of its divisors is an integer number (530958339656).

Almost surely, 2^{52106266651200} is an apocalyptic number.

52106266651200 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 52106266651200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89201001062208).

52106266651200 is an abundant number, since it is smaller than the sum of its proper divisors (126295735473216).

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

52106266651200 is a wasteful number, since it uses less digits than its factorization.

52106266651200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45902 (or 45887 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The spelling of 52106266651200 in words is "fifty-two trillion, one hundred six billion, two hundred sixty-six million, six hundred fifty-one thousand, two hundred".