252909727488 has 288 divisors, whose sum is σ = 821124837120. Its totient is φ = 76147568640.

The previous prime is 252909727463. The next prime is 252909727489. The reversal of 252909727488 is 884727909252.

252909727488 is a `hidden beast` number, since 2 + 529 + 0 + 9 + 7 + 27 + 4 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252909727489) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11926431 + ... + 11947617.

Almost surely, 2^252909727488 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 252909727488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410562418560).

252909727488 is an abundant number, since it is smaller than the sum of its proper divisors (568215109632).

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

252909727488 is a wasteful number, since it uses less digits than its factorization.

252909727488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21380 (or 21360 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 252909727488 in words is "two hundred fifty-two billion, nine hundred nine million, seven hundred twenty-seven thousand, four hundred eighty-eight".