252777841680 has 640 divisors, whose sum is σ = 982657105920. Its totient is φ = 52334346240.

The previous prime is 252777841663. The next prime is 252777841681. The reversal of 252777841680 is 86148777252.

252777841680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 252777841680.

It is not an unprimeable number, because it can be changed into a prime (252777841681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 527719681 + ... + 527720159.

It is an arithmetic number, because the mean of its divisors is an integer number (1535401728).

Almost surely, 2^252777841680 is an apocalyptic number.

252777841680 is a gapful number since it is divisible by the number (20) 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 252777841680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491328552960).

252777841680 is an abundant number, since it is smaller than the sum of its proper divisors (729879264240).

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

252777841680 is a wasteful number, since it uses less digits than its factorization.

252777841680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 919 (or 913 counting only the distinct ones).

The product of its (nonzero) digits is 10536960, while the sum is 57.

The spelling of 252777841680 in words is "two hundred fifty-two billion, seven hundred seventy-seven million, eight hundred forty-one thousand, six hundred eighty".