252499920816 has 480 divisors, whose sum is σ = 801796181760. Its totient is φ = 67495680000.

The previous prime is 252499920793. The next prime is 252499920817. The reversal of 252499920816 is 618029994252.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (252499920817) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 666226515 + ... + 666226893.

It is an arithmetic number, because the mean of its divisors is an integer number (1670408712).

Almost surely, 2^252499920816 is an apocalyptic number.

252499920816 is a gapful number since it is divisible by the number (26) 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 252499920816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400898090880).

252499920816 is an abundant number, since it is smaller than the sum of its proper divisors (549296260944).

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

252499920816 is a wasteful number, since it uses less digits than its factorization.

252499920816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 57.

The spelling of 252499920816 in words is "two hundred fifty-two billion, four hundred ninety-nine million, nine hundred twenty thousand, eight hundred sixteen".