252081123840 has 1920 divisors, whose sum is σ = 1148073518592. Its totient is φ = 51597803520.

The previous prime is 252081123823. The next prime is 252081123841. The reversal of 252081123840 is 48321180252.

It is a happy number.

252081123840 is a `hidden beast` number, since 2 + 520 + 8 + 1 + 123 + 8 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is a junction number, because it is equal to n+sod(n) for n = 252081123795 and 252081123804.

It is not an unprimeable number, because it can be changed into a prime (252081123841) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3453166044 + ... + 3453166116.

Almost surely, 2^252081123840 is an apocalyptic number.

252081123840 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 252081123840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574036759296).

252081123840 is an abundant number, since it is smaller than the sum of its proper divisors (895992394752).

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

252081123840 is an equidigital number, since it uses as much as digits as its factorization.

252081123840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 252081123840 in words is "two hundred fifty-two billion, eighty-one million, one hundred twenty-three thousand, eight hundred forty".