52252258829472 has 288 divisors, whose sum is σ = 165161454615360. Its totient is φ = 16064565304320.

The previous prime is 52252258829417. The next prime is 52252258829473. The reversal of 52252258829472 is 27492885225225.

52252258829472 is a `hidden beast` number, since 5 + 2 + 2 + 5 + 2 + 2 + 588 + 2 + 9 + 47 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (52252258829473) 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, 180477147 + ... + 180766437.

It is an arithmetic number, because the mean of its divisors is an integer number (573477272970).

Almost surely, 2^{52252258829472} is an apocalyptic number.

52252258829472 is a gapful number since it is divisible by the number (52) 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 52252258829472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82580727307680).

52252258829472 is an abundant number, since it is smaller than the sum of its proper divisors (112909195785888).

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

52252258829472 is a wasteful number, since it uses less digits than its factorization.

52252258829472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290573 (or 290546 counting only the distinct ones).

The product of its digits is 129024000, while the sum is 63.

The spelling of 52252258829472 in words is "fifty-two trillion, two hundred fifty-two billion, two hundred fifty-eight million, eight hundred twenty-nine thousand, four hundred seventy-two".