252867816300 has 144 divisors (see below), whose sum is σ = 803430077184. Its totient is φ = 60895200000.

The previous prime is 252867816287. The next prime is 252867816301. The reversal of 252867816300 is 3618768252.

It is a self number, because there is not a number n which added to its sum of digits gives 252867816300.

It is not an unprimeable number, because it can be changed into a prime (252867816301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 244570 + ... + 752030.

It is an arithmetic number, because the mean of its divisors is an integer number (5579375536).

Almost surely, 2^252867816300 is an apocalyptic number.

252867816300 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 252867816300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401715038592).

252867816300 is an abundant number, since it is smaller than the sum of its proper divisors (550562260884).

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

252867816300 is a wasteful number, since it uses less digits than its factorization.

252867816300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507640 (or 507633 counting only the distinct ones).

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

The spelling of 252867816300 in words is "two hundred fifty-two billion, eight hundred sixty-seven million, eight hundred sixteen thousand, three hundred".