252886787712 has 384 divisors, whose sum is σ = 808848331200. Its totient is φ = 75341905920.

The previous prime is 252886787707. The next prime is 252886787743. The reversal of 252886787712 is 217787688252.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 252886787712.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85346743 + ... + 85349705.

Almost surely, 2^252886787712 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 252886787712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404424165600).

252886787712 is an abundant number, since it is smaller than the sum of its proper divisors (555961543488).

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

252886787712 is a wasteful number, since it uses less digits than its factorization.

252886787712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3176 (or 3161 counting only the distinct ones).

The product of its digits is 42147840, while the sum is 63.

The spelling of 252886787712 in words is "two hundred fifty-two billion, eight hundred eighty-six million, seven hundred eighty-seven thousand, seven hundred twelve".