252210889728 has 528 divisors, whose sum is σ = 893056644480. Its totient is φ = 69561483264.

The previous prime is 252210889613. The next prime is 252210889739. The reversal of 252210889728 is 827988012252.

252210889728 is a `hidden beast` number, since 2 + 522 + 1 + 0 + 8 + 8 + 97 + 28 = 666.

It is a super-2 number, since 2×252210889728² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50510400 + ... + 50515392.

It is an arithmetic number, because the mean of its divisors is an integer number (1691395160).

Almost surely, 2^252210889728 is an apocalyptic number.

252210889728 is a gapful number since it is divisible by the number (28) 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 252210889728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446528322240).

252210889728 is an abundant number, since it is smaller than the sum of its proper divisors (640845754752).

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

252210889728 is an equidigital number, since it uses as much as digits as its factorization.

252210889728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5064 (or 5034 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 252210889728 in words is "two hundred fifty-two billion, two hundred ten million, eight hundred eighty-nine thousand, seven hundred twenty-eight".