252352096920 has 768 divisors, whose sum is σ = 1071439488000. Its totient is φ = 51704801280.

The previous prime is 252352096903. The next prime is 252352096921. The reversal of 252352096920 is 29690253252.

252352096920 is a `hidden beast` number, since 25 + 23 + 520 + 9 + 69 + 20 = 666.

252352096920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (252352096921) 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, 66775591 + ... + 66779369.

It is an arithmetic number, because the mean of its divisors is an integer number (1395103500).

Almost surely, 2^252352096920 is an apocalyptic number.

252352096920 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 252352096920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535719744000).

252352096920 is an abundant number, since it is smaller than the sum of its proper divisors (819087391080).

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

252352096920 is a wasteful number, since it uses less digits than its factorization.

252352096920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3901 (or 3880 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 252352096920 in words is "two hundred fifty-two billion, three hundred fifty-two million, ninety-six thousand, nine hundred twenty".