252120328704 has 160 divisors (see below), whose sum is σ = 746820444480. Its totient is φ = 83980800000.

The previous prime is 252120328703. The next prime is 252120328717. The reversal of 252120328704 is 407823021252.

252120328704 is a `hidden beast` number, since 2 + 521 + 20 + 32 + 87 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (252120328703) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 22403079 + ... + 22414329.

It is an arithmetic number, because the mean of its divisors is an integer number (4667627778).

Almost surely, 2^252120328704 is an apocalyptic number.

252120328704 is a gapful number since it is divisible by the number (24) 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 252120328704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373410222240).

252120328704 is an abundant number, since it is smaller than the sum of its proper divisors (494700115776).

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

252120328704 is a wasteful number, since it uses less digits than its factorization.

252120328704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12899 (or 12877 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

Adding to 252120328704 its reverse (407823021252), we get a palindrome (659943349956).

The spelling of 252120328704 in words is "two hundred fifty-two billion, one hundred twenty million, three hundred twenty-eight thousand, seven hundred four".