252068775552000 has 2112 divisors, whose sum is σ = 1045127345633280. Its totient is φ = 60067049472000.

The previous prime is 252068775551899. The next prime is 252068775552001. The reversal of 252068775552000 is 255577860252.

It is a happy number.

252068775552000 is a `hidden beast` number, since 2 + 5 + 2 + 0 + 6 + 87 + 7 + 5 + 552 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (252068775552001) 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 191 ways as a sum of consecutive naturals, for example, 20186489757 + ... + 20186502243.

Almost surely, 2^{252068775552000} is an apocalyptic number.

252068775552000 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 252068775552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522563672816640).

252068775552000 is an abundant number, since it is smaller than the sum of its proper divisors (793058570081280).

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

252068775552000 is a wasteful number, since it uses less digits than its factorization.

252068775552000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12607 (or 12567 counting only the distinct ones).

The product of its (nonzero) digits is 11760000, while the sum is 54.

The spelling of 252068775552000 in words is "two hundred fifty-two trillion, sixty-eight billion, seven hundred seventy-five million, five hundred fifty-two thousand".