252383523840 has 2112 divisors, whose sum is σ = 1149241478400. Its totient is φ = 52171112448.

The previous prime is 252383523817. The next prime is 252383523841. The reversal of 252383523840 is 48325383252.

252383523840 is a `hidden beast` number, since 2 + 5 + 2 + 3 + 83 + 523 + 8 + 40 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252383523841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4761953254 + ... + 4761953306.

Almost surely, 2^252383523840 is an apocalyptic number.

252383523840 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 252383523840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574620739200).

252383523840 is an abundant number, since it is smaller than the sum of its proper divisors (896857954560).

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

252383523840 is a wasteful number, since it uses less digits than its factorization.

252383523840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 252383523840 in words is "two hundred fifty-two billion, three hundred eighty-three million, five hundred twenty-three thousand, eight hundred forty".