252810624792 has 128 divisors (see below), whose sum is σ = 701192977920. Its totient is φ = 75309696000.

The previous prime is 252810624767. The next prime is 252810624809. The reversal of 252810624792 is 297426018252.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37212948 + ... + 37219740.

It is an arithmetic number, because the mean of its divisors is an integer number (5478070140).

Almost surely, 2^252810624792 is an apocalyptic number.

252810624792 is a gapful number since it is divisible by the number (22) 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 252810624792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350596488960).

252810624792 is an abundant number, since it is smaller than the sum of its proper divisors (448382353128).

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

252810624792 is a wasteful number, since it uses less digits than its factorization.

252810624792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9185 (or 9181 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 252810624792 in words is "two hundred fifty-two billion, eight hundred ten million, six hundred twenty-four thousand, seven hundred ninety-two".