252328959792 has 1440 divisors, whose sum is σ = 986466624000. Its totient is φ = 59915261952.

The previous prime is 252328959791. The next prime is 252328959853. The reversal of 252328959792 is 297959823252.

252328959792 is a `hidden beast` number, since 2 + 5 + 2 + 32 + 8 + 9 + 597 + 9 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (48988800) is a multiple of the sum of its prime factors (160).

It is not an unprimeable number, because it can be changed into a prime (252328959791) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5868115323 + ... + 5868115365.

Almost surely, 2^252328959792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252328959792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493233312000).

252328959792 is an abundant number, since it is smaller than the sum of its proper divisors (734137664208).

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

252328959792 is a wasteful number, since it uses less digits than its factorization.

252328959792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 124 counting only the distinct ones).

The product of its digits is 48988800, while the sum is 63.

The spelling of 252328959792 in words is "two hundred fifty-two billion, three hundred twenty-eight million, nine hundred fifty-nine thousand, seven hundred ninety-two".