252835968000 has 1408 divisors, whose sum is σ = 1112440283136. Its totient is φ = 49348608000.

The previous prime is 252835967963. The next prime is 252835968001. The reversal of 252835968000 is 869538252.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252835968001) 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 127 ways as a sum of consecutive naturals, for example, 502655749 + ... + 502656251.

Almost surely, 2^252835968000 is an apocalyptic number.

252835968000 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 252835968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556220141568).

252835968000 is an abundant number, since it is smaller than the sum of its proper divisors (859604315136).

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

252835968000 is a wasteful number, since it uses less digits than its factorization.

252835968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 48.

The spelling of 252835968000 in words is "two hundred fifty-two billion, eight hundred thirty-five million, nine hundred sixty-eight thousand".