252267509760 has 768 divisors, whose sum is σ = 985227909120. Its totient is φ = 53791948800.

The previous prime is 252267509759. The next prime is 252267509761. The reversal of 252267509760 is 67905762252.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (252267509759) and next prime (252267509761).

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252267509761) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 552007452 + ... + 552007908.

It is an arithmetic number, because the mean of its divisors is an integer number (1282848840).

Almost surely, 2^252267509760 is an apocalyptic number.

252267509760 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 252267509760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492613954560).

252267509760 is an abundant number, since it is smaller than the sum of its proper divisors (732960399360).

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

252267509760 is a wasteful number, since it uses less digits than its factorization.

252267509760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 51.

The spelling of 252267509760 in words is "two hundred fifty-two billion, two hundred sixty-seven million, five hundred nine thousand, seven hundred sixty".